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Finding the Fourth Proportional to 61,470.97, 92,206.15 and 19,354.61

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Solution

The fourth proportional to 61,470.97, 92,206.15 and 19,354.61 is: 29,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,470.97 : 92,206.15 = 19,354.61 : x
  2. Step 2: Convert to fraction form
    61,470.97/92,206.15 = 19,354.61/x
  3. Step 3: Cross multiply
    61,470.97x = 92,206.15 × 19,354.61
  4. Step 4: Simplify right side
    61,470.97x = 1,784,614,254.98
  5. Step 5: Solve for x
    x = 1,784,614,254.98/61,470.97
  6. Step 6: Final answer
    x = 29,031.82

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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.