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Finding the Fourth Proportional to 32,209.66, 48,307.20 and 14,684.50

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Solution

The fourth proportional to 32,209.66, 48,307.20 and 14,684.50 is: 22,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.66 : 48,307.20 = 14,684.50 : x
  2. Step 2: Convert to fraction form
    32,209.66/48,307.20 = 14,684.50/x
  3. Step 3: Cross multiply
    32,209.66x = 48,307.20 × 14,684.50
  4. Step 4: Simplify right side
    32,209.66x = 709,367,078.40
  5. Step 5: Solve for x
    x = 709,367,078.40/32,209.66
  6. Step 6: Final answer
    x = 22,023.43

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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.