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Finding the Fourth Proportional to 83,547.92, 125,349.96 and 30,961.64

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Solution

The fourth proportional to 83,547.92, 125,349.96 and 30,961.64 is: 46,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,547.92 : 125,349.96 = 30,961.64 : x
  2. Step 2: Convert to fraction form
    83,547.92/125,349.96 = 30,961.64/x
  3. Step 3: Cross multiply
    83,547.92x = 125,349.96 × 30,961.64
  4. Step 4: Simplify right side
    83,547.92x = 3,881,040,335.53
  5. Step 5: Solve for x
    x = 3,881,040,335.53/83,547.92
  6. Step 6: Final answer
    x = 46,452.87

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1.5x scale

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.