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Finding the Fourth Proportional to 82,044.42, 113,221.38 and 44,318.70

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Solution

The fourth proportional to 82,044.42, 113,221.38 and 44,318.70 is: 61,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,044.42 : 113,221.38 = 44,318.70 : x
  2. Step 2: Convert to fraction form
    82,044.42/113,221.38 = 44,318.70/x
  3. Step 3: Cross multiply
    82,044.42x = 113,221.38 × 44,318.70
  4. Step 4: Simplify right side
    82,044.42x = 5,017,824,373.81
  5. Step 5: Solve for x
    x = 5,017,824,373.81/82,044.42
  6. Step 6: Final answer
    x = 61,159.85

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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.