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Finding the Fourth Proportional to 32,293.32, 48,440.34 and 10,105.80

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Solution

The fourth proportional to 32,293.32, 48,440.34 and 10,105.80 is: 15,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,293.32 : 48,440.34 = 10,105.80 : x
  2. Step 2: Convert to fraction form
    32,293.32/48,440.34 = 10,105.80/x
  3. Step 3: Cross multiply
    32,293.32x = 48,440.34 × 10,105.80
  4. Step 4: Simplify right side
    32,293.32x = 489,528,387.97
  5. Step 5: Solve for x
    x = 489,528,387.97/32,293.32
  6. Step 6: Final answer
    x = 15,158.81

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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.