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Finding the Fourth Proportional to 37,146.53, 55,733.67 and 14,966.20

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Solution

The fourth proportional to 37,146.53, 55,733.67 and 14,966.20 is: 22,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,146.53 : 55,733.67 = 14,966.20 : x
  2. Step 2: Convert to fraction form
    37,146.53/55,733.67 = 14,966.20/x
  3. Step 3: Cross multiply
    37,146.53x = 55,733.67 × 14,966.20
  4. Step 4: Simplify right side
    37,146.53x = 834,121,321.62
  5. Step 5: Solve for x
    x = 834,121,321.62/37,146.53
  6. Step 6: Final answer
    x = 22,454.89

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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.