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Finding the Fourth Proportional to 32,106.16, 48,150.48 and 9,611.56

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Solution

The fourth proportional to 32,106.16, 48,150.48 and 9,611.56 is: 14,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106.16 : 48,150.48 = 9,611.56 : x
  2. Step 2: Convert to fraction form
    32,106.16/48,150.48 = 9,611.56/x
  3. Step 3: Cross multiply
    32,106.16x = 48,150.48 × 9,611.56
  4. Step 4: Simplify right side
    32,106.16x = 462,801,227.55
  5. Step 5: Solve for x
    x = 462,801,227.55/32,106.16
  6. Step 6: Final answer
    x = 14,414.72

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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.