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Finding the Fourth Proportional to 83,143.40, 114,737.86 and 44,902.96

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Solution

The fourth proportional to 83,143.40, 114,737.86 and 44,902.96 is: 61,966.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143.40 : 114,737.86 = 44,902.96 : x
  2. Step 2: Convert to fraction form
    83,143.40/114,737.86 = 44,902.96/x
  3. Step 3: Cross multiply
    83,143.40x = 114,737.86 × 44,902.96
  4. Step 4: Simplify right side
    83,143.40x = 5,152,069,370.49
  5. Step 5: Solve for x
    x = 5,152,069,370.49/83,143.40
  6. Step 6: Final answer
    x = 61,966.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.