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Finding the Fourth Proportional to 82,575.28, 113,953.26 and 44,849.80

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Solution

The fourth proportional to 82,575.28, 113,953.26 and 44,849.80 is: 61,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,575.28 : 113,953.26 = 44,849.80 : x
  2. Step 2: Convert to fraction form
    82,575.28/113,953.26 = 44,849.80/x
  3. Step 3: Cross multiply
    82,575.28x = 113,953.26 × 44,849.80
  4. Step 4: Simplify right side
    82,575.28x = 5,110,780,920.35
  5. Step 5: Solve for x
    x = 5,110,780,920.35/82,575.28
  6. Step 6: Final answer
    x = 61,892.38

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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.