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Finding the Fourth Proportional to 96,543.60, 144,826.20 and 29,983.20

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Solution

The fourth proportional to 96,543.60, 144,826.20 and 29,983.20 is: 44,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,543.60 : 144,826.20 = 29,983.20 : x
  2. Step 2: Convert to fraction form
    96,543.60/144,826.20 = 29,983.20/x
  3. Step 3: Cross multiply
    96,543.60x = 144,826.20 × 29,983.20
  4. Step 4: Simplify right side
    96,543.60x = 4,342,352,919.84
  5. Step 5: Solve for x
    x = 4,342,352,919.84/96,543.60
  6. Step 6: Final answer
    x = 44,978.15

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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.