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Finding the Fourth Proportional to 83,132.58, 124,737.75 and 48,101.70

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Solution

The fourth proportional to 83,132.58, 124,737.75 and 48,101.70 is: 72,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,132.58 : 124,737.75 = 48,101.70 : x
  2. Step 2: Convert to fraction form
    83,132.58/124,737.75 = 48,101.70/x
  3. Step 3: Cross multiply
    83,132.58x = 124,737.75 × 48,101.70
  4. Step 4: Simplify right side
    83,132.58x = 6,000,097,829.18
  5. Step 5: Solve for x
    x = 6,000,097,829.18/83,132.58
  6. Step 6: Final answer
    x = 72,175.05

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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.