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Finding the Fourth Proportional to 37,101.60, 55,663.92 and 12,141.78

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Solution

The fourth proportional to 37,101.60, 55,663.92 and 12,141.78 is: 18,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,101.60 : 55,663.92 = 12,141.78 : x
  2. Step 2: Convert to fraction form
    37,101.60/55,663.92 = 12,141.78/x
  3. Step 3: Cross multiply
    37,101.60x = 55,663.92 × 12,141.78
  4. Step 4: Simplify right side
    37,101.60x = 675,859,070.58
  5. Step 5: Solve for x
    x = 675,859,070.58/37,101.60
  6. Step 6: Final answer
    x = 18,216.44

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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.