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Finding the Fourth Proportional to 32,407.40, 48,611.10 and 27,223.40

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Solution

The fourth proportional to 32,407.40, 48,611.10 and 27,223.40 is: 40,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.40 : 48,611.10 = 27,223.40 : x
  2. Step 2: Convert to fraction form
    32,407.40/48,611.10 = 27,223.40/x
  3. Step 3: Cross multiply
    32,407.40x = 48,611.10 × 27,223.40
  4. Step 4: Simplify right side
    32,407.40x = 1,323,359,419.74
  5. Step 5: Solve for x
    x = 1,323,359,419.74/32,407.40
  6. Step 6: Final answer
    x = 40,835.10

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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.