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Finding the Fourth Proportional to 37,101.77, 55,657.86 and 12,143.78

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Solution

The fourth proportional to 37,101.77, 55,657.86 and 12,143.78 is: 18,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,101.77 : 55,657.86 = 12,143.78 : x
  2. Step 2: Convert to fraction form
    37,101.77/55,657.86 = 12,143.78/x
  3. Step 3: Cross multiply
    37,101.77x = 55,657.86 × 12,143.78
  4. Step 4: Simplify right side
    37,101.77x = 675,896,807.11
  5. Step 5: Solve for x
    x = 675,896,807.11/37,101.77
  6. Step 6: Final answer
    x = 18,217.37

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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.