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Finding the Fourth Proportional to 39,440.72, 54,424.32 and 23,522

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Solution

The fourth proportional to 39,440.72, 54,424.32 and 23,522 is: 32,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,440.72 : 54,424.32 = 23,522 : x
  2. Step 2: Convert to fraction form
    39,440.72/54,424.32 = 23,522/x
  3. Step 3: Cross multiply
    39,440.72x = 54,424.32 × 23,522
  4. Step 4: Simplify right side
    39,440.72x = 1,280,168,855.04
  5. Step 5: Solve for x
    x = 1,280,168,855.04/39,440.72
  6. Step 6: Final answer
    x = 32,458.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.