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Finding the Fourth Proportional to 32,904.14, 49,356.21 and 7,944.17

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Solution

The fourth proportional to 32,904.14, 49,356.21 and 7,944.17 is: 11,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,904.14 : 49,356.21 = 7,944.17 : x
  2. Step 2: Convert to fraction form
    32,904.14/49,356.21 = 7,944.17/x
  3. Step 3: Cross multiply
    32,904.14x = 49,356.21 × 7,944.17
  4. Step 4: Simplify right side
    32,904.14x = 392,093,876.01
  5. Step 5: Solve for x
    x = 392,093,876.01/32,904.14
  6. Step 6: Final answer
    x = 11,916.25

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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.