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Finding the Fourth Proportional to 73,761.76, 110,549.76 and 40,026.72

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Solution

The fourth proportional to 73,761.76, 110,549.76 and 40,026.72 is: 59,989.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,761.76 : 110,549.76 = 40,026.72 : x
  2. Step 2: Convert to fraction form
    73,761.76/110,549.76 = 40,026.72/x
  3. Step 3: Cross multiply
    73,761.76x = 110,549.76 × 40,026.72
  4. Step 4: Simplify right side
    73,761.76x = 4,424,944,289.59
  5. Step 5: Solve for x
    x = 4,424,944,289.59/73,761.76
  6. Step 6: Final answer
    x = 59,989.68

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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.