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Finding the Fourth Proportional to 50,549.96, 69,772.80 and 29,336

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Solution

The fourth proportional to 50,549.96, 69,772.80 and 29,336 is: 40,491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,549.96 : 69,772.80 = 29,336 : x
  2. Step 2: Convert to fraction form
    50,549.96/69,772.80 = 29,336/x
  3. Step 3: Cross multiply
    50,549.96x = 69,772.80 × 29,336
  4. Step 4: Simplify right side
    50,549.96x = 2,046,854,860.80
  5. Step 5: Solve for x
    x = 2,046,854,860.80/50,549.96
  6. Step 6: Final answer
    x = 40,491.72

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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.