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Finding the Fourth Proportional to 96,092.56, 144,152.62 and 29,538.28

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Solution

The fourth proportional to 96,092.56, 144,152.62 and 29,538.28 is: 44,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,092.56 : 144,152.62 = 29,538.28 : x
  2. Step 2: Convert to fraction form
    96,092.56/144,152.62 = 29,538.28/x
  3. Step 3: Cross multiply
    96,092.56x = 144,152.62 × 29,538.28
  4. Step 4: Simplify right side
    96,092.56x = 4,258,019,948.64
  5. Step 5: Solve for x
    x = 4,258,019,948.64/96,092.56
  6. Step 6: Final answer
    x = 44,311.65

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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.