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Finding the Fourth Proportional to 32,436.28, 48,654.42 and 7,812.28

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Solution

The fourth proportional to 32,436.28, 48,654.42 and 7,812.28 is: 11,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,436.28 : 48,654.42 = 7,812.28 : x
  2. Step 2: Convert to fraction form
    32,436.28/48,654.42 = 7,812.28/x
  3. Step 3: Cross multiply
    32,436.28x = 48,654.42 × 7,812.28
  4. Step 4: Simplify right side
    32,436.28x = 380,101,952.28
  5. Step 5: Solve for x
    x = 380,101,952.28/32,436.28
  6. Step 6: Final answer
    x = 11,718.42

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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.