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Finding the Fourth Proportional to 32,381.06, 48,575.06 and 10,195.10

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Solution

The fourth proportional to 32,381.06, 48,575.06 and 10,195.10 is: 15,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,381.06 : 48,575.06 = 10,195.10 : x
  2. Step 2: Convert to fraction form
    32,381.06/48,575.06 = 10,195.10/x
  3. Step 3: Cross multiply
    32,381.06x = 48,575.06 × 10,195.10
  4. Step 4: Simplify right side
    32,381.06x = 495,227,594.21
  5. Step 5: Solve for x
    x = 495,227,594.21/32,381.06
  6. Step 6: Final answer
    x = 15,293.74

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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.