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Finding the Fourth Proportional to 69,113.20, 103,643.88 and 29,650

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Solution

The fourth proportional to 69,113.20, 103,643.88 and 29,650 is: 44,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,113.20 : 103,643.88 = 29,650 : x
  2. Step 2: Convert to fraction form
    69,113.20/103,643.88 = 29,650/x
  3. Step 3: Cross multiply
    69,113.20x = 103,643.88 × 29,650
  4. Step 4: Simplify right side
    69,113.20x = 3,073,041,042
  5. Step 5: Solve for x
    x = 3,073,041,042/69,113.20
  6. Step 6: Final answer
    x = 44,463.88

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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.