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Finding the Fourth Proportional to 39,686.19, 54,767.95 and 21,781.04

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Solution

The fourth proportional to 39,686.19, 54,767.95 and 21,781.04 is: 30,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,686.19 : 54,767.95 = 21,781.04 : x
  2. Step 2: Convert to fraction form
    39,686.19/54,767.95 = 21,781.04/x
  3. Step 3: Cross multiply
    39,686.19x = 54,767.95 × 21,781.04
  4. Step 4: Simplify right side
    39,686.19x = 1,192,902,581.38
  5. Step 5: Solve for x
    x = 1,192,902,581.38/39,686.19
  6. Step 6: Final answer
    x = 30,058.38

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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.