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Finding the Fourth Proportional to 83,318.74, 114,982.12 and 51,052.80

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Solution

The fourth proportional to 83,318.74, 114,982.12 and 51,052.80 is: 70,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,318.74 : 114,982.12 = 51,052.80 : x
  2. Step 2: Convert to fraction form
    83,318.74/114,982.12 = 51,052.80/x
  3. Step 3: Cross multiply
    83,318.74x = 114,982.12 × 51,052.80
  4. Step 4: Simplify right side
    83,318.74x = 5,870,159,175.94
  5. Step 5: Solve for x
    x = 5,870,159,175.94/83,318.74
  6. Step 6: Final answer
    x = 70,454.25

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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.