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Finding the Fourth Proportional to 83,829.12, 125,740.80 and 21,500.16

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Solution

The fourth proportional to 83,829.12, 125,740.80 and 21,500.16 is: 32,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,829.12 : 125,740.80 = 21,500.16 : x
  2. Step 2: Convert to fraction form
    83,829.12/125,740.80 = 21,500.16/x
  3. Step 3: Cross multiply
    83,829.12x = 125,740.80 × 21,500.16
  4. Step 4: Simplify right side
    83,829.12x = 2,703,447,318.53
  5. Step 5: Solve for x
    x = 2,703,447,318.53/83,829.12
  6. Step 6: Final answer
    x = 32,249.50

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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.