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Finding the Fourth Proportional to 69,169.60, 95,463.32 and 40,498

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Solution

The fourth proportional to 69,169.60, 95,463.32 and 40,498 is: 55,892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,169.60 : 95,463.32 = 40,498 : x
  2. Step 2: Convert to fraction form
    69,169.60/95,463.32 = 40,498/x
  3. Step 3: Cross multiply
    69,169.60x = 95,463.32 × 40,498
  4. Step 4: Simplify right side
    69,169.60x = 3,866,073,533.36
  5. Step 5: Solve for x
    x = 3,866,073,533.36/69,169.60
  6. Step 6: Final answer
    x = 55,892.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.