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Finding the Fourth Proportional to 42,142.61, 63,223.14 and 15,847.35

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Solution

The fourth proportional to 42,142.61, 63,223.14 and 15,847.35 is: 23,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,142.61 : 63,223.14 = 15,847.35 : x
  2. Step 2: Convert to fraction form
    42,142.61/63,223.14 = 15,847.35/x
  3. Step 3: Cross multiply
    42,142.61x = 63,223.14 × 15,847.35
  4. Step 4: Simplify right side
    42,142.61x = 1,001,919,227.68
  5. Step 5: Solve for x
    x = 1,001,919,227.68/42,142.61
  6. Step 6: Final answer
    x = 23,774.50

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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.