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Finding the Fourth Proportional to 83,169.16, 124,749.66 and 30,575.32

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Solution

The fourth proportional to 83,169.16, 124,749.66 and 30,575.32 is: 45,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,169.16 : 124,749.66 = 30,575.32 : x
  2. Step 2: Convert to fraction form
    83,169.16/124,749.66 = 30,575.32/x
  3. Step 3: Cross multiply
    83,169.16x = 124,749.66 × 30,575.32
  4. Step 4: Simplify right side
    83,169.16x = 3,814,260,774.39
  5. Step 5: Solve for x
    x = 3,814,260,774.39/83,169.16
  6. Step 6: Final answer
    x = 45,861.48

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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.