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Finding the Fourth Proportional to 94,761.80, 142,104.30 and 32,400.20

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Solution

The fourth proportional to 94,761.80, 142,104.30 and 32,400.20 is: 48,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,761.80 : 142,104.30 = 32,400.20 : x
  2. Step 2: Convert to fraction form
    94,761.80/142,104.30 = 32,400.20/x
  3. Step 3: Cross multiply
    94,761.80x = 142,104.30 × 32,400.20
  4. Step 4: Simplify right side
    94,761.80x = 4,604,207,740.86
  5. Step 5: Solve for x
    x = 4,604,207,740.86/94,761.80
  6. Step 6: Final answer
    x = 48,587.17

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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.