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Finding the Fourth Proportional to 100,898.49, 151,327.09 and 37,706.95

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Solution

The fourth proportional to 100,898.49, 151,327.09 and 37,706.95 is: 56,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,898.49 : 151,327.09 = 37,706.95 : x
  2. Step 2: Convert to fraction form
    100,898.49/151,327.09 = 37,706.95/x
  3. Step 3: Cross multiply
    100,898.49x = 151,327.09 × 37,706.95
  4. Step 4: Simplify right side
    100,898.49x = 5,706,083,016.28
  5. Step 5: Solve for x
    x = 5,706,083,016.28/100,898.49
  6. Step 6: Final answer
    x = 56,552.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.