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Finding the Fourth Proportional to 100,928.50, 151,423.89 and 37,755

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Solution

The fourth proportional to 100,928.50, 151,423.89 and 37,755 is: 56,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,928.50 : 151,423.89 = 37,755 : x
  2. Step 2: Convert to fraction form
    100,928.50/151,423.89 = 37,755/x
  3. Step 3: Cross multiply
    100,928.50x = 151,423.89 × 37,755
  4. Step 4: Simplify right side
    100,928.50x = 5,717,008,778.18
  5. Step 5: Solve for x
    x = 5,717,008,778.18/100,928.50
  6. Step 6: Final answer
    x = 56,644.15

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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.