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Finding the Fourth Proportional to 50,761.26, 76,159.92 and 22,678.74

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Solution

The fourth proportional to 50,761.26, 76,159.92 and 22,678.74 is: 34,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,761.26 : 76,159.92 = 22,678.74 : x
  2. Step 2: Convert to fraction form
    50,761.26/76,159.92 = 22,678.74/x
  3. Step 3: Cross multiply
    50,761.26x = 76,159.92 × 22,678.74
  4. Step 4: Simplify right side
    50,761.26x = 1,727,211,024.10
  5. Step 5: Solve for x
    x = 1,727,211,024.10/50,761.26
  6. Step 6: Final answer
    x = 34,026.17

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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.