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Finding the Fourth Proportional to 40,908.24, 61,440.16 and 25,434

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Solution

The fourth proportional to 40,908.24, 61,440.16 and 25,434 is: 38,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,908.24 : 61,440.16 = 25,434 : x
  2. Step 2: Convert to fraction form
    40,908.24/61,440.16 = 25,434/x
  3. Step 3: Cross multiply
    40,908.24x = 61,440.16 × 25,434
  4. Step 4: Simplify right side
    40,908.24x = 1,562,669,029.44
  5. Step 5: Solve for x
    x = 1,562,669,029.44/40,908.24
  6. Step 6: Final answer
    x = 38,199.37

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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.