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Finding the Fourth Proportional to 54,920.97, 75,792.11 and 31,046.22

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Solution

The fourth proportional to 54,920.97, 75,792.11 and 31,046.22 is: 42,844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,920.97 : 75,792.11 = 31,046.22 : x
  2. Step 2: Convert to fraction form
    54,920.97/75,792.11 = 31,046.22/x
  3. Step 3: Cross multiply
    54,920.97x = 75,792.11 × 31,046.22
  4. Step 4: Simplify right side
    54,920.97x = 2,353,058,366.09
  5. Step 5: Solve for x
    x = 2,353,058,366.09/54,920.97
  6. Step 6: Final answer
    x = 42,844.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.