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Finding the Fourth Proportional to 48,489.96, 72,726.84 and 13,433.16

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Solution

The fourth proportional to 48,489.96, 72,726.84 and 13,433.16 is: 20,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,489.96 : 72,726.84 = 13,433.16 : x
  2. Step 2: Convert to fraction form
    48,489.96/72,726.84 = 13,433.16/x
  3. Step 3: Cross multiply
    48,489.96x = 72,726.84 × 13,433.16
  4. Step 4: Simplify right side
    48,489.96x = 976,951,278.01
  5. Step 5: Solve for x
    x = 976,951,278.01/48,489.96
  6. Step 6: Final answer
    x = 20,147.50

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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.