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Finding the Fourth Proportional to 27,332.61, 40,971.51 and 9,549.47

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Solution

The fourth proportional to 27,332.61, 40,971.51 and 9,549.47 is: 14,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,332.61 : 40,971.51 = 9,549.47 : x
  2. Step 2: Convert to fraction form
    27,332.61/40,971.51 = 9,549.47/x
  3. Step 3: Cross multiply
    27,332.61x = 40,971.51 × 9,549.47
  4. Step 4: Simplify right side
    27,332.61x = 391,256,000.74
  5. Step 5: Solve for x
    x = 391,256,000.74/27,332.61
  6. Step 6: Final answer
    x = 14,314.62

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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.