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Finding the Fourth Proportional to 32,496.68, 48,747.79 and 9,123.12

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Solution

The fourth proportional to 32,496.68, 48,747.79 and 9,123.12 is: 13,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,496.68 : 48,747.79 = 9,123.12 : x
  2. Step 2: Convert to fraction form
    32,496.68/48,747.79 = 9,123.12/x
  3. Step 3: Cross multiply
    32,496.68x = 48,747.79 × 9,123.12
  4. Step 4: Simplify right side
    32,496.68x = 444,731,949.31
  5. Step 5: Solve for x
    x = 444,731,949.31/32,496.68
  6. Step 6: Final answer
    x = 13,685.46

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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.