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Finding the Fourth Proportional to 32,123.46, 48,206.99 and 11,346.96

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Solution

The fourth proportional to 32,123.46, 48,206.99 and 11,346.96 is: 17,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123.46 : 48,206.99 = 11,346.96 : x
  2. Step 2: Convert to fraction form
    32,123.46/48,206.99 = 11,346.96/x
  3. Step 3: Cross multiply
    32,123.46x = 48,206.99 × 11,346.96
  4. Step 4: Simplify right side
    32,123.46x = 547,002,787.25
  5. Step 5: Solve for x
    x = 547,002,787.25/32,123.46
  6. Step 6: Final answer
    x = 17,028.14

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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.