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Finding the Fourth Proportional to 100,592.40, 150,907.92 and 38,257.92

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Solution

The fourth proportional to 100,592.40, 150,907.92 and 38,257.92 is: 57,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,592.40 : 150,907.92 = 38,257.92 : x
  2. Step 2: Convert to fraction form
    100,592.40/150,907.92 = 38,257.92/x
  3. Step 3: Cross multiply
    100,592.40x = 150,907.92 × 38,257.92
  4. Step 4: Simplify right side
    100,592.40x = 5,773,423,130.73
  5. Step 5: Solve for x
    x = 5,773,423,130.73/100,592.40
  6. Step 6: Final answer
    x = 57,394.23

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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.