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Finding the Fourth Proportional to 49,077.76, 73,565.52 and 22,760.80

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Solution

The fourth proportional to 49,077.76, 73,565.52 and 22,760.80 is: 34,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,077.76 : 73,565.52 = 22,760.80 : x
  2. Step 2: Convert to fraction form
    49,077.76/73,565.52 = 22,760.80/x
  3. Step 3: Cross multiply
    49,077.76x = 73,565.52 × 22,760.80
  4. Step 4: Simplify right side
    49,077.76x = 1,674,410,087.62
  5. Step 5: Solve for x
    x = 1,674,410,087.62/49,077.76
  6. Step 6: Final answer
    x = 34,117.49

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