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Finding the Fourth Proportional to 82,473.80, 113,814.33 and 44,748.02

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Solution

The fourth proportional to 82,473.80, 113,814.33 and 44,748.02 is: 61,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,473.80 : 113,814.33 = 44,748.02 : x
  2. Step 2: Convert to fraction form
    82,473.80/113,814.33 = 44,748.02/x
  3. Step 3: Cross multiply
    82,473.80x = 113,814.33 × 44,748.02
  4. Step 4: Simplify right side
    82,473.80x = 5,092,965,915.13
  5. Step 5: Solve for x
    x = 5,092,965,915.13/82,473.80
  6. Step 6: Final answer
    x = 61,752.53

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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.