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Finding the Fourth Proportional to 27,061.66, 40,597.53 and 9,542.62

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Solution

The fourth proportional to 27,061.66, 40,597.53 and 9,542.62 is: 14,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,061.66 : 40,597.53 = 9,542.62 : x
  2. Step 2: Convert to fraction form
    27,061.66/40,597.53 = 9,542.62/x
  3. Step 3: Cross multiply
    27,061.66x = 40,597.53 × 9,542.62
  4. Step 4: Simplify right side
    27,061.66x = 387,406,801.73
  5. Step 5: Solve for x
    x = 387,406,801.73/27,061.66
  6. Step 6: Final answer
    x = 14,315.71

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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.