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Finding the Fourth Proportional to 82,778.30, 124,193.38 and 53,229.50

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Solution

The fourth proportional to 82,778.30, 124,193.38 and 53,229.50 is: 79,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,778.30 : 124,193.38 = 53,229.50 : x
  2. Step 2: Convert to fraction form
    82,778.30/124,193.38 = 53,229.50/x
  3. Step 3: Cross multiply
    82,778.30x = 124,193.38 × 53,229.50
  4. Step 4: Simplify right side
    82,778.30x = 6,610,751,520.71
  5. Step 5: Solve for x
    x = 6,610,751,520.71/82,778.30
  6. Step 6: Final answer
    x = 79,860.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.