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Finding the Fourth Proportional to 54,924.16, 75,792.39 and 31,049.41

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Solution

The fourth proportional to 54,924.16, 75,792.39 and 31,049.41 is: 42,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,924.16 : 75,792.39 = 31,049.41 : x
  2. Step 2: Convert to fraction form
    54,924.16/75,792.39 = 31,049.41/x
  3. Step 3: Cross multiply
    54,924.16x = 75,792.39 × 31,049.41
  4. Step 4: Simplify right side
    54,924.16x = 2,353,308,613.03
  5. Step 5: Solve for x
    x = 2,353,308,613.03/54,924.16
  6. Step 6: Final answer
    x = 42,846.51

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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.