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Finding the Fourth Proportional to 32,205.80, 48,308.70 and 8,834.60

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Solution

The fourth proportional to 32,205.80, 48,308.70 and 8,834.60 is: 13,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.80 : 48,308.70 = 8,834.60 : x
  2. Step 2: Convert to fraction form
    32,205.80/48,308.70 = 8,834.60/x
  3. Step 3: Cross multiply
    32,205.80x = 48,308.70 × 8,834.60
  4. Step 4: Simplify right side
    32,205.80x = 426,788,041.02
  5. Step 5: Solve for x
    x = 426,788,041.02/32,205.80
  6. Step 6: Final answer
    x = 13,251.90

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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.