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Finding the Fourth Proportional to 83,461.81, 115,182.17 and 47,162.33

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Solution

The fourth proportional to 83,461.81, 115,182.17 and 47,162.33 is: 65,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,461.81 : 115,182.17 = 47,162.33 : x
  2. Step 2: Convert to fraction form
    83,461.81/115,182.17 = 47,162.33/x
  3. Step 3: Cross multiply
    83,461.81x = 115,182.17 × 47,162.33
  4. Step 4: Simplify right side
    83,461.81x = 5,432,259,511.66
  5. Step 5: Solve for x
    x = 5,432,259,511.66/83,461.81
  6. Step 6: Final answer
    x = 65,086.77

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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.