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Finding the Fourth Proportional to 39,652.84, 54,721.38 and 22,891.24

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Solution

The fourth proportional to 39,652.84, 54,721.38 and 22,891.24 is: 31,590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,652.84 : 54,721.38 = 22,891.24 : x
  2. Step 2: Convert to fraction form
    39,652.84/54,721.38 = 22,891.24/x
  3. Step 3: Cross multiply
    39,652.84x = 54,721.38 × 22,891.24
  4. Step 4: Simplify right side
    39,652.84x = 1,252,640,242.71
  5. Step 5: Solve for x
    x = 1,252,640,242.71/39,652.84
  6. Step 6: Final answer
    x = 31,590.18

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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.