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Finding the Fourth Proportional to 76,487.77, 114,692.26 and 34,331.71

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Solution

The fourth proportional to 76,487.77, 114,692.26 and 34,331.71 is: 51,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,487.77 : 114,692.26 = 34,331.71 : x
  2. Step 2: Convert to fraction form
    76,487.77/114,692.26 = 34,331.71/x
  3. Step 3: Cross multiply
    76,487.77x = 114,692.26 × 34,331.71
  4. Step 4: Simplify right side
    76,487.77x = 3,937,581,409.56
  5. Step 5: Solve for x
    x = 3,937,581,409.56/76,487.77
  6. Step 6: Final answer
    x = 51,479.88

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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.