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Finding the Fourth Proportional to 32,881.96, 49,324.38 and 9,510.76

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Solution

The fourth proportional to 32,881.96, 49,324.38 and 9,510.76 is: 14,266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,881.96 : 49,324.38 = 9,510.76 : x
  2. Step 2: Convert to fraction form
    32,881.96/49,324.38 = 9,510.76/x
  3. Step 3: Cross multiply
    32,881.96x = 49,324.38 × 9,510.76
  4. Step 4: Simplify right side
    32,881.96x = 469,112,340.33
  5. Step 5: Solve for x
    x = 469,112,340.33/32,881.96
  6. Step 6: Final answer
    x = 14,266.56

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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.