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Finding the Fourth Proportional to 54,960, 75,844.81 and 31,086.16

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Solution

The fourth proportional to 54,960, 75,844.81 and 31,086.16 is: 42,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,960 : 75,844.81 = 31,086.16 : x
  2. Step 2: Convert to fraction form
    54,960/75,844.81 = 31,086.16/x
  3. Step 3: Cross multiply
    54,960x = 75,844.81 × 31,086.16
  4. Step 4: Simplify right side
    54,960x = 2,357,723,898.83
  5. Step 5: Solve for x
    x = 2,357,723,898.83/54,960
  6. Step 6: Final answer
    x = 42,898.91

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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.