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Finding the Fourth Proportional to 83,446, 115,165.12 and 47,641.12

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Solution

The fourth proportional to 83,446, 115,165.12 and 47,641.12 is: 65,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,446 : 115,165.12 = 47,641.12 : x
  2. Step 2: Convert to fraction form
    83,446/115,165.12 = 47,641.12/x
  3. Step 3: Cross multiply
    83,446x = 115,165.12 × 47,641.12
  4. Step 4: Simplify right side
    83,446x = 5,486,595,301.73
  5. Step 5: Solve for x
    x = 5,486,595,301.73/83,446
  6. Step 6: Final answer
    x = 65,750.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.