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Finding the Fourth Proportional to 47,486.10, 71,202.84 and 19,425.84

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Solution

The fourth proportional to 47,486.10, 71,202.84 and 19,425.84 is: 29,128.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,486.10 : 71,202.84 = 19,425.84 : x
  2. Step 2: Convert to fraction form
    47,486.10/71,202.84 = 19,425.84/x
  3. Step 3: Cross multiply
    47,486.10x = 71,202.84 × 19,425.84
  4. Step 4: Simplify right side
    47,486.10x = 1,383,174,977.39
  5. Step 5: Solve for x
    x = 1,383,174,977.39/47,486.10
  6. Step 6: Final answer
    x = 29,128.00

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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.