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Finding the Fourth Proportional to 71,240.31, 106,871.40 and 24,482.25

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Solution

The fourth proportional to 71,240.31, 106,871.40 and 24,482.25 is: 36,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,240.31 : 106,871.40 = 24,482.25 : x
  2. Step 2: Convert to fraction form
    71,240.31/106,871.40 = 24,482.25/x
  3. Step 3: Cross multiply
    71,240.31x = 106,871.40 × 24,482.25
  4. Step 4: Simplify right side
    71,240.31x = 2,616,452,332.65
  5. Step 5: Solve for x
    x = 2,616,452,332.65/71,240.31
  6. Step 6: Final answer
    x = 36,727.13

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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.