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Finding the Fourth Proportional to 47,189.89, 65,134.82 and 27,825.69

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Solution

The fourth proportional to 47,189.89, 65,134.82 and 27,825.69 is: 38,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,189.89 : 65,134.82 = 27,825.69 : x
  2. Step 2: Convert to fraction form
    47,189.89/65,134.82 = 27,825.69/x
  3. Step 3: Cross multiply
    47,189.89x = 65,134.82 × 27,825.69
  4. Step 4: Simplify right side
    47,189.89x = 1,812,421,309.53
  5. Step 5: Solve for x
    x = 1,812,421,309.53/47,189.89
  6. Step 6: Final answer
    x = 38,406.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.