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Finding the Fourth Proportional to 32,145.60, 48,218.40 and 8,453.10

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Solution

The fourth proportional to 32,145.60, 48,218.40 and 8,453.10 is: 12,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.60 : 48,218.40 = 8,453.10 : x
  2. Step 2: Convert to fraction form
    32,145.60/48,218.40 = 8,453.10/x
  3. Step 3: Cross multiply
    32,145.60x = 48,218.40 × 8,453.10
  4. Step 4: Simplify right side
    32,145.60x = 407,594,957.04
  5. Step 5: Solve for x
    x = 407,594,957.04/32,145.60
  6. Step 6: Final answer
    x = 12,679.65

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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.