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Finding the Fourth Proportional to 37,264.80, 55,897.20 and 24,823.20

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Solution

The fourth proportional to 37,264.80, 55,897.20 and 24,823.20 is: 37,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,264.80 : 55,897.20 = 24,823.20 : x
  2. Step 2: Convert to fraction form
    37,264.80/55,897.20 = 24,823.20/x
  3. Step 3: Cross multiply
    37,264.80x = 55,897.20 × 24,823.20
  4. Step 4: Simplify right side
    37,264.80x = 1,387,547,375.04
  5. Step 5: Solve for x
    x = 1,387,547,375.04/37,264.80
  6. Step 6: Final answer
    x = 37,234.80

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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.