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Finding the Fourth Proportional to 96,402.93, 144,611.13 and 29,834.30

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Solution

The fourth proportional to 96,402.93, 144,611.13 and 29,834.30 is: 44,753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,402.93 : 144,611.13 = 29,834.30 : x
  2. Step 2: Convert to fraction form
    96,402.93/144,611.13 = 29,834.30/x
  3. Step 3: Cross multiply
    96,402.93x = 144,611.13 × 29,834.30
  4. Step 4: Simplify right side
    96,402.93x = 4,314,371,835.76
  5. Step 5: Solve for x
    x = 4,314,371,835.76/96,402.93
  6. Step 6: Final answer
    x = 44,753.53

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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.