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Finding the Fourth Proportional to 50,489.44, 69,670.16 and 29,275.68

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Solution

The fourth proportional to 50,489.44, 69,670.16 and 29,275.68 is: 40,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,489.44 : 69,670.16 = 29,275.68 : x
  2. Step 2: Convert to fraction form
    50,489.44/69,670.16 = 29,275.68/x
  3. Step 3: Cross multiply
    50,489.44x = 69,670.16 × 29,275.68
  4. Step 4: Simplify right side
    50,489.44x = 2,039,641,309.71
  5. Step 5: Solve for x
    x = 2,039,641,309.71/50,489.44
  6. Step 6: Final answer
    x = 40,397.38

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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.