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Finding the Fourth Proportional to 32,132.18, 48,202.98 and 9,947.54

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Solution

The fourth proportional to 32,132.18, 48,202.98 and 9,947.54 is: 14,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,132.18 : 48,202.98 = 9,947.54 : x
  2. Step 2: Convert to fraction form
    32,132.18/48,202.98 = 9,947.54/x
  3. Step 3: Cross multiply
    32,132.18x = 48,202.98 × 9,947.54
  4. Step 4: Simplify right side
    32,132.18x = 479,501,071.67
  5. Step 5: Solve for x
    x = 479,501,071.67/32,132.18
  6. Step 6: Final answer
    x = 14,922.77

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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.