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Finding the Fourth Proportional to 32,145.32, 48,213.12 and 8,773.60

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Solution

The fourth proportional to 32,145.32, 48,213.12 and 8,773.60 is: 13,159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.32 : 48,213.12 = 8,773.60 : x
  2. Step 2: Convert to fraction form
    32,145.32/48,213.12 = 8,773.60/x
  3. Step 3: Cross multiply
    32,145.32x = 48,213.12 × 8,773.60
  4. Step 4: Simplify right side
    32,145.32x = 423,002,629.63
  5. Step 5: Solve for x
    x = 423,002,629.63/32,145.32
  6. Step 6: Final answer
    x = 13,159.07

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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.