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Finding the Fourth Proportional to 32,721.60, 49,082.40 and 11,942.40

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Solution

The fourth proportional to 32,721.60, 49,082.40 and 11,942.40 is: 17,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,721.60 : 49,082.40 = 11,942.40 : x
  2. Step 2: Convert to fraction form
    32,721.60/49,082.40 = 11,942.40/x
  3. Step 3: Cross multiply
    32,721.60x = 49,082.40 × 11,942.40
  4. Step 4: Simplify right side
    32,721.60x = 586,161,653.76
  5. Step 5: Solve for x
    x = 586,161,653.76/32,721.60
  6. Step 6: Final answer
    x = 17,913.60

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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.