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Finding the Fourth Proportional to 32,423.20, 48,634.80 and 9,049.60

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Solution

The fourth proportional to 32,423.20, 48,634.80 and 9,049.60 is: 13,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,423.20 : 48,634.80 = 9,049.60 : x
  2. Step 2: Convert to fraction form
    32,423.20/48,634.80 = 9,049.60/x
  3. Step 3: Cross multiply
    32,423.20x = 48,634.80 × 9,049.60
  4. Step 4: Simplify right side
    32,423.20x = 440,125,486.08
  5. Step 5: Solve for x
    x = 440,125,486.08/32,423.20
  6. Step 6: Final answer
    x = 13,574.40

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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.