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Finding the Fourth Proportional to 32,205.40, 48,308.10 and 26,675.80

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Solution

The fourth proportional to 32,205.40, 48,308.10 and 26,675.80 is: 40,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.40 : 48,308.10 = 26,675.80 : x
  2. Step 2: Convert to fraction form
    32,205.40/48,308.10 = 26,675.80/x
  3. Step 3: Cross multiply
    32,205.40x = 48,308.10 × 26,675.80
  4. Step 4: Simplify right side
    32,205.40x = 1,288,657,213.98
  5. Step 5: Solve for x
    x = 1,288,657,213.98/32,205.40
  6. Step 6: Final answer
    x = 40,013.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.