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Finding the Fourth Proportional to 83,469.84, 125,165.16 and 48,420.24

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Solution

The fourth proportional to 83,469.84, 125,165.16 and 48,420.24 is: 72,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,469.84 : 125,165.16 = 48,420.24 : x
  2. Step 2: Convert to fraction form
    83,469.84/125,165.16 = 48,420.24/x
  3. Step 3: Cross multiply
    83,469.84x = 125,165.16 × 48,420.24
  4. Step 4: Simplify right side
    83,469.84x = 6,060,527,086.84
  5. Step 5: Solve for x
    x = 6,060,527,086.84/83,469.84
  6. Step 6: Final answer
    x = 72,607.39

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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.