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Finding the Fourth Proportional to 77,168.74, 115,753.02 and 50,681.94

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Solution

The fourth proportional to 77,168.74, 115,753.02 and 50,681.94 is: 76,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,168.74 : 115,753.02 = 50,681.94 : x
  2. Step 2: Convert to fraction form
    77,168.74/115,753.02 = 50,681.94/x
  3. Step 3: Cross multiply
    77,168.74x = 115,753.02 × 50,681.94
  4. Step 4: Simplify right side
    77,168.74x = 5,866,587,614.46
  5. Step 5: Solve for x
    x = 5,866,587,614.46/77,168.74
  6. Step 6: Final answer
    x = 76,022.85

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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.