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Finding the Fourth Proportional to 82,338.75, 113,627.88 and 44,613

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Solution

The fourth proportional to 82,338.75, 113,627.88 and 44,613 is: 61,566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,338.75 : 113,627.88 = 44,613 : x
  2. Step 2: Convert to fraction form
    82,338.75/113,627.88 = 44,613/x
  3. Step 3: Cross multiply
    82,338.75x = 113,627.88 × 44,613
  4. Step 4: Simplify right side
    82,338.75x = 5,069,280,610.44
  5. Step 5: Solve for x
    x = 5,069,280,610.44/82,338.75
  6. Step 6: Final answer
    x = 61,566.16

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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.