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Finding the Fourth Proportional to 100,294.68, 150,440.87 and 24,393.68

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Solution

The fourth proportional to 100,294.68, 150,440.87 and 24,393.68 is: 36,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,294.68 : 150,440.87 = 24,393.68 : x
  2. Step 2: Convert to fraction form
    100,294.68/150,440.87 = 24,393.68/x
  3. Step 3: Cross multiply
    100,294.68x = 150,440.87 × 24,393.68
  4. Step 4: Simplify right side
    100,294.68x = 3,669,805,567.53
  5. Step 5: Solve for x
    x = 3,669,805,567.53/100,294.68
  6. Step 6: Final answer
    x = 36,590.23

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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.