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Finding the Fourth Proportional to 100,929.50, 151,425.39 and 37,756

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Solution

The fourth proportional to 100,929.50, 151,425.39 and 37,756 is: 56,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,929.50 : 151,425.39 = 37,756 : x
  2. Step 2: Convert to fraction form
    100,929.50/151,425.39 = 37,756/x
  3. Step 3: Cross multiply
    100,929.50x = 151,425.39 × 37,756
  4. Step 4: Simplify right side
    100,929.50x = 5,717,217,024.84
  5. Step 5: Solve for x
    x = 5,717,217,024.84/100,929.50
  6. Step 6: Final answer
    x = 56,645.65

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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.