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Finding the Fourth Proportional to 83,468.84, 125,163.66 and 48,419.24

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Solution

The fourth proportional to 83,468.84, 125,163.66 and 48,419.24 is: 72,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,468.84 : 125,163.66 = 48,419.24 : x
  2. Step 2: Convert to fraction form
    83,468.84/125,163.66 = 48,419.24/x
  3. Step 3: Cross multiply
    83,468.84x = 125,163.66 × 48,419.24
  4. Step 4: Simplify right side
    83,468.84x = 6,060,329,292.82
  5. Step 5: Solve for x
    x = 6,060,329,292.82/83,468.84
  6. Step 6: Final answer
    x = 72,605.89

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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.