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Finding the Fourth Proportional to 82,368.52, 113,668.86 and 44,642.68

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Solution

The fourth proportional to 82,368.52, 113,668.86 and 44,642.68 is: 61,607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,368.52 : 113,668.86 = 44,642.68 : x
  2. Step 2: Convert to fraction form
    82,368.52/113,668.86 = 44,642.68/x
  3. Step 3: Cross multiply
    82,368.52x = 113,668.86 × 44,642.68
  4. Step 4: Simplify right side
    82,368.52x = 5,074,482,542.94
  5. Step 5: Solve for x
    x = 5,074,482,542.94/82,368.52
  6. Step 6: Final answer
    x = 61,607.06

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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.