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Finding the Fourth Proportional to 27,192.30, 40,897.80 and 24,349.20

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Solution

The fourth proportional to 27,192.30, 40,897.80 and 24,349.20 is: 36,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,192.30 : 40,897.80 = 24,349.20 : x
  2. Step 2: Convert to fraction form
    27,192.30/40,897.80 = 24,349.20/x
  3. Step 3: Cross multiply
    27,192.30x = 40,897.80 × 24,349.20
  4. Step 4: Simplify right side
    27,192.30x = 995,828,711.76
  5. Step 5: Solve for x
    x = 995,828,711.76/27,192.30
  6. Step 6: Final answer
    x = 36,621.72

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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.