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Finding the Fourth Proportional to 39,320.64, 54,317.52 and 27,378

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Solution

The fourth proportional to 39,320.64, 54,317.52 and 27,378 is: 37,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,320.64 : 54,317.52 = 27,378 : x
  2. Step 2: Convert to fraction form
    39,320.64/54,317.52 = 27,378/x
  3. Step 3: Cross multiply
    39,320.64x = 54,317.52 × 27,378
  4. Step 4: Simplify right side
    39,320.64x = 1,487,105,062.56
  5. Step 5: Solve for x
    x = 1,487,105,062.56/39,320.64
  6. Step 6: Final answer
    x = 37,819.96

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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.