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Finding the Fourth Proportional to 83,538, 125,294.88 and 24,357.84

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Solution

The fourth proportional to 83,538, 125,294.88 and 24,357.84 is: 36,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,538 : 125,294.88 = 24,357.84 : x
  2. Step 2: Convert to fraction form
    83,538/125,294.88 = 24,357.84/x
  3. Step 3: Cross multiply
    83,538x = 125,294.88 × 24,357.84
  4. Step 4: Simplify right side
    83,538x = 3,051,912,639.86
  5. Step 5: Solve for x
    x = 3,051,912,639.86/83,538
  6. Step 6: Final answer
    x = 36,533.23

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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.