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Finding the Fourth Proportional to 34,686.38, 47,867.32 and 18,770.82

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Solution

The fourth proportional to 34,686.38, 47,867.32 and 18,770.82 is: 25,903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,686.38 : 47,867.32 = 18,770.82 : x
  2. Step 2: Convert to fraction form
    34,686.38/47,867.32 = 18,770.82/x
  3. Step 3: Cross multiply
    34,686.38x = 47,867.32 × 18,770.82
  4. Step 4: Simplify right side
    34,686.38x = 898,508,753.75
  5. Step 5: Solve for x
    x = 898,508,753.75/34,686.38
  6. Step 6: Final answer
    x = 25,903.80

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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.