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Finding the Fourth Proportional to 80,830.72, 111,552 and 49,000.96

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Solution

The fourth proportional to 80,830.72, 111,552 and 49,000.96 is: 67,624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,830.72 : 111,552 = 49,000.96 : x
  2. Step 2: Convert to fraction form
    80,830.72/111,552 = 49,000.96/x
  3. Step 3: Cross multiply
    80,830.72x = 111,552 × 49,000.96
  4. Step 4: Simplify right side
    80,830.72x = 5,466,155,089.92
  5. Step 5: Solve for x
    x = 5,466,155,089.92/80,830.72
  6. Step 6: Final answer
    x = 67,624.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.