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Finding the Fourth Proportional to 47,872,745.82, 71,819,207.01 and 15,522,125.74

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Solution

The fourth proportional to 47,872,745.82, 71,819,207.01 and 15,522,125.74 is: 23,286,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872,745.82 : 71,819,207.01 = 15,522,125.74 : x
  2. Step 2: Convert to fraction form
    47,872,745.82/71,819,207.01 = 15,522,125.74/x
  3. Step 3: Cross multiply
    47,872,745.82x = 71,819,207.01 × 15,522,125.74
  4. Step 4: Simplify right side
    47,872,745.82x = 1,114,786,761,576,761.50
  5. Step 5: Solve for x
    x = 1,114,786,761,576,761.50/47,872,745.82
  6. Step 6: Final answer
    x = 23,286,459.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.