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Finding the Fourth Proportional to 48,505.96, 72,750.84 and 13,449.16

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Solution

The fourth proportional to 48,505.96, 72,750.84 and 13,449.16 is: 20,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,505.96 : 72,750.84 = 13,449.16 : x
  2. Step 2: Convert to fraction form
    48,505.96/72,750.84 = 13,449.16/x
  3. Step 3: Cross multiply
    48,505.96x = 72,750.84 × 13,449.16
  4. Step 4: Simplify right side
    48,505.96x = 978,437,687.29
  5. Step 5: Solve for x
    x = 978,437,687.29/48,505.96
  6. Step 6: Final answer
    x = 20,171.49

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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.