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Finding the Fourth Proportional to 32,177.92, 48,260.32 and 8,802.56

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Solution

The fourth proportional to 32,177.92, 48,260.32 and 8,802.56 is: 13,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.92 : 48,260.32 = 8,802.56 : x
  2. Step 2: Convert to fraction form
    32,177.92/48,260.32 = 8,802.56/x
  3. Step 3: Cross multiply
    32,177.92x = 48,260.32 × 8,802.56
  4. Step 4: Simplify right side
    32,177.92x = 424,814,362.42
  5. Step 5: Solve for x
    x = 424,814,362.42/32,177.92
  6. Step 6: Final answer
    x = 13,202.05

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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.