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Finding the Fourth Proportional to 37,931.50, 56,897.25 and 10,229.50

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Solution

The fourth proportional to 37,931.50, 56,897.25 and 10,229.50 is: 15,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,931.50 : 56,897.25 = 10,229.50 : x
  2. Step 2: Convert to fraction form
    37,931.50/56,897.25 = 10,229.50/x
  3. Step 3: Cross multiply
    37,931.50x = 56,897.25 × 10,229.50
  4. Step 4: Simplify right side
    37,931.50x = 582,030,418.88
  5. Step 5: Solve for x
    x = 582,030,418.88/37,931.50
  6. Step 6: Final answer
    x = 15,344.25

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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.