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Finding the Fourth Proportional to 32,186.40, 48,337.20 and 31,149.60

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Solution

The fourth proportional to 32,186.40, 48,337.20 and 31,149.60 is: 46,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186.40 : 48,337.20 = 31,149.60 : x
  2. Step 2: Convert to fraction form
    32,186.40/48,337.20 = 31,149.60/x
  3. Step 3: Cross multiply
    32,186.40x = 48,337.20 × 31,149.60
  4. Step 4: Simplify right side
    32,186.40x = 1,505,684,445.12
  5. Step 5: Solve for x
    x = 1,505,684,445.12/32,186.40
  6. Step 6: Final answer
    x = 46,780.14

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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.