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Finding the Fourth Proportional to 71,502.00, 107,281.25 and 27,140.53

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Solution

The fourth proportional to 71,502.00, 107,281.25 and 27,140.53 is: 40,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,502.00 : 107,281.25 = 27,140.53 : x
  2. Step 2: Convert to fraction form
    71,502.00/107,281.25 = 27,140.53/x
  3. Step 3: Cross multiply
    71,502.00x = 107,281.25 × 27,140.53
  4. Step 4: Simplify right side
    71,502.00x = 2,911,669,429.89
  5. Step 5: Solve for x
    x = 2,911,669,429.89/71,502.00
  6. Step 6: Final answer
    x = 40,721.51

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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.