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Finding the Fourth Proportional to 83,677.20, 125,476.20 and 48,627.60

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Solution

The fourth proportional to 83,677.20, 125,476.20 and 48,627.60 is: 72,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,677.20 : 125,476.20 = 48,627.60 : x
  2. Step 2: Convert to fraction form
    83,677.20/125,476.20 = 48,627.60/x
  3. Step 3: Cross multiply
    83,677.20x = 125,476.20 × 48,627.60
  4. Step 4: Simplify right side
    83,677.20x = 6,101,606,463.12
  5. Step 5: Solve for x
    x = 6,101,606,463.12/83,677.20
  6. Step 6: Final answer
    x = 72,918.39

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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.