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Finding the Fourth Proportional to 34,770.22, 47,982.86 and 18,854.65

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Solution

The fourth proportional to 34,770.22, 47,982.86 and 18,854.65 is: 26,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,770.22 : 47,982.86 = 18,854.65 : x
  2. Step 2: Convert to fraction form
    34,770.22/47,982.86 = 18,854.65/x
  3. Step 3: Cross multiply
    34,770.22x = 47,982.86 × 18,854.65
  4. Step 4: Simplify right side
    34,770.22x = 904,700,031.30
  5. Step 5: Solve for x
    x = 904,700,031.30/34,770.22
  6. Step 6: Final answer
    x = 26,019.39

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