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Finding the Fourth Proportional to 32,209.25, 48,315.24 and 8,835.68

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Solution

The fourth proportional to 32,209.25, 48,315.24 and 8,835.68 is: 13,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.25 : 48,315.24 = 8,835.68 : x
  2. Step 2: Convert to fraction form
    32,209.25/48,315.24 = 8,835.68/x
  3. Step 3: Cross multiply
    32,209.25x = 48,315.24 × 8,835.68
  4. Step 4: Simplify right side
    32,209.25x = 426,898,120.55
  5. Step 5: Solve for x
    x = 426,898,120.55/32,209.25
  6. Step 6: Final answer
    x = 13,253.90

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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.