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Finding the Fourth Proportional to 39,876.18, 55,029.12 and 21,971.13

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Solution

The fourth proportional to 39,876.18, 55,029.12 and 21,971.13 is: 30,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,876.18 : 55,029.12 = 21,971.13 : x
  2. Step 2: Convert to fraction form
    39,876.18/55,029.12 = 21,971.13/x
  3. Step 3: Cross multiply
    39,876.18x = 55,029.12 × 21,971.13
  4. Step 4: Simplify right side
    39,876.18x = 1,209,051,949.31
  5. Step 5: Solve for x
    x = 1,209,051,949.31/39,876.18
  6. Step 6: Final answer
    x = 30,320.15

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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.