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Finding the Fourth Proportional to 71,143.94, 106,863.33 and 56,456.21

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Solution

The fourth proportional to 71,143.94, 106,863.33 and 56,456.21 is: 84,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,143.94 : 106,863.33 = 56,456.21 : x
  2. Step 2: Convert to fraction form
    71,143.94/106,863.33 = 56,456.21/x
  3. Step 3: Cross multiply
    71,143.94x = 106,863.33 × 56,456.21
  4. Step 4: Simplify right side
    71,143.94x = 6,033,098,065.46
  5. Step 5: Solve for x
    x = 6,033,098,065.46/71,143.94
  6. Step 6: Final answer
    x = 84,801.30

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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.