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Finding the Fourth Proportional to 83,117.60, 124,602.24 and 36,333.44

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Solution

The fourth proportional to 83,117.60, 124,602.24 and 36,333.44 is: 54,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,117.60 : 124,602.24 = 36,333.44 : x
  2. Step 2: Convert to fraction form
    83,117.60/124,602.24 = 36,333.44/x
  3. Step 3: Cross multiply
    83,117.60x = 124,602.24 × 36,333.44
  4. Step 4: Simplify right side
    83,117.60x = 4,527,228,010.91
  5. Step 5: Solve for x
    x = 4,527,228,010.91/83,117.60
  6. Step 6: Final answer
    x = 54,467.74

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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.