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Finding the Fourth Proportional to 37,115.46, 55,672.40 and 9,035.66

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Solution

The fourth proportional to 37,115.46, 55,672.40 and 9,035.66 is: 13,553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,115.46 : 55,672.40 = 9,035.66 : x
  2. Step 2: Convert to fraction form
    37,115.46/55,672.40 = 9,035.66/x
  3. Step 3: Cross multiply
    37,115.46x = 55,672.40 × 9,035.66
  4. Step 4: Simplify right side
    37,115.46x = 503,036,877.78
  5. Step 5: Solve for x
    x = 503,036,877.78/37,115.46
  6. Step 6: Final answer
    x = 13,553.30

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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.