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Finding the Fourth Proportional to 100,417.62, 150,582.14 and 38,044.38

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Solution

The fourth proportional to 100,417.62, 150,582.14 and 38,044.38 is: 57,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,417.62 : 150,582.14 = 38,044.38 : x
  2. Step 2: Convert to fraction form
    100,417.62/150,582.14 = 38,044.38/x
  3. Step 3: Cross multiply
    100,417.62x = 150,582.14 × 38,044.38
  4. Step 4: Simplify right side
    100,417.62x = 5,728,804,155.37
  5. Step 5: Solve for x
    x = 5,728,804,155.37/100,417.62
  6. Step 6: Final answer
    x = 57,049.79

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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.