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Finding the Fourth Proportional to 37,141.86, 55,729.80 and 16,088.34

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Solution

The fourth proportional to 37,141.86, 55,729.80 and 16,088.34 is: 24,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,141.86 : 55,729.80 = 16,088.34 : x
  2. Step 2: Convert to fraction form
    37,141.86/55,729.80 = 16,088.34/x
  3. Step 3: Cross multiply
    37,141.86x = 55,729.80 × 16,088.34
  4. Step 4: Simplify right side
    37,141.86x = 896,599,970.53
  5. Step 5: Solve for x
    x = 896,599,970.53/37,141.86
  6. Step 6: Final answer
    x = 24,139.88

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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.