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Finding the Fourth Proportional to 32,540.12, 48,807.70 and 10,354.20

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Solution

The fourth proportional to 32,540.12, 48,807.70 and 10,354.20 is: 15,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,540.12 : 48,807.70 = 10,354.20 : x
  2. Step 2: Convert to fraction form
    32,540.12/48,807.70 = 10,354.20/x
  3. Step 3: Cross multiply
    32,540.12x = 48,807.70 × 10,354.20
  4. Step 4: Simplify right side
    32,540.12x = 505,364,687.34
  5. Step 5: Solve for x
    x = 505,364,687.34/32,540.12
  6. Step 6: Final answer
    x = 15,530.51

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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.