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Finding the Fourth Proportional to 82,424, 113,764.80 and 48,909.44

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Solution

The fourth proportional to 82,424, 113,764.80 and 48,909.44 is: 67,506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,424 : 113,764.80 = 48,909.44 : x
  2. Step 2: Convert to fraction form
    82,424/113,764.80 = 48,909.44/x
  3. Step 3: Cross multiply
    82,424x = 113,764.80 × 48,909.44
  4. Step 4: Simplify right side
    82,424x = 5,564,172,659.71
  5. Step 5: Solve for x
    x = 5,564,172,659.71/82,424
  6. Step 6: Final answer
    x = 67,506.71

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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.