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Finding the Fourth Proportional to 100,582.50, 150,893.19 and 38,248.14

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Solution

The fourth proportional to 100,582.50, 150,893.19 and 38,248.14 is: 57,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,582.50 : 150,893.19 = 38,248.14 : x
  2. Step 2: Convert to fraction form
    100,582.50/150,893.19 = 38,248.14/x
  3. Step 3: Cross multiply
    100,582.50x = 150,893.19 × 38,248.14
  4. Step 4: Simplify right side
    100,582.50x = 5,771,383,856.17
  5. Step 5: Solve for x
    x = 5,771,383,856.17/100,582.50
  6. Step 6: Final answer
    x = 57,379.60

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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.