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Finding the Fourth Proportional to 83,808.56, 125,734.44 and 24,646.16

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Solution

The fourth proportional to 83,808.56, 125,734.44 and 24,646.16 is: 36,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,808.56 : 125,734.44 = 24,646.16 : x
  2. Step 2: Convert to fraction form
    83,808.56/125,734.44 = 24,646.16/x
  3. Step 3: Cross multiply
    83,808.56x = 125,734.44 × 24,646.16
  4. Step 4: Simplify right side
    83,808.56x = 3,098,871,125.75
  5. Step 5: Solve for x
    x = 3,098,871,125.75/83,808.56
  6. Step 6: Final answer
    x = 36,975.59

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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.