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Finding the Fourth Proportional to 39,392.64, 59,039.04 and 38,976

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Solution

The fourth proportional to 39,392.64, 59,039.04 and 38,976 is: 58,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,392.64 : 59,039.04 = 38,976 : x
  2. Step 2: Convert to fraction form
    39,392.64/59,039.04 = 38,976/x
  3. Step 3: Cross multiply
    39,392.64x = 59,039.04 × 38,976
  4. Step 4: Simplify right side
    39,392.64x = 2,301,105,623.04
  5. Step 5: Solve for x
    x = 2,301,105,623.04/39,392.64
  6. Step 6: Final answer
    x = 58,414.61

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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.