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Finding the Fourth Proportional to 32,002.60, 48,107.58 and 31,847.08

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Solution

The fourth proportional to 32,002.60, 48,107.58 and 31,847.08 is: 47,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.60 : 48,107.58 = 31,847.08 : x
  2. Step 2: Convert to fraction form
    32,002.60/48,107.58 = 31,847.08/x
  3. Step 3: Cross multiply
    32,002.60x = 48,107.58 × 31,847.08
  4. Step 4: Simplify right side
    32,002.60x = 1,532,085,948.87
  5. Step 5: Solve for x
    x = 1,532,085,948.87/32,002.60
  6. Step 6: Final answer
    x = 47,873.80

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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.