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Finding the Fourth Proportional to 32,145.64, 48,231.14 and 9,960.75

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Solution

The fourth proportional to 32,145.64, 48,231.14 and 9,960.75 is: 14,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.64 : 48,231.14 = 9,960.75 : x
  2. Step 2: Convert to fraction form
    32,145.64/48,231.14 = 9,960.75/x
  3. Step 3: Cross multiply
    32,145.64x = 48,231.14 × 9,960.75
  4. Step 4: Simplify right side
    32,145.64x = 480,418,277.95
  5. Step 5: Solve for x
    x = 480,418,277.95/32,145.64
  6. Step 6: Final answer
    x = 14,945.05

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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.