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Finding the Fourth Proportional to 37,729.20, 56,593.59 and 9,649.20

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Solution

The fourth proportional to 37,729.20, 56,593.59 and 9,649.20 is: 14,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,729.20 : 56,593.59 = 9,649.20 : x
  2. Step 2: Convert to fraction form
    37,729.20/56,593.59 = 9,649.20/x
  3. Step 3: Cross multiply
    37,729.20x = 56,593.59 × 9,649.20
  4. Step 4: Simplify right side
    37,729.20x = 546,083,044.67
  5. Step 5: Solve for x
    x = 546,083,044.67/37,729.20
  6. Step 6: Final answer
    x = 14,473.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.