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Finding the Fourth Proportional to 38,929.20, 53,722.28 and 21,024.20

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Solution

The fourth proportional to 38,929.20, 53,722.28 and 21,024.20 is: 29,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,929.20 : 53,722.28 = 21,024.20 : x
  2. Step 2: Convert to fraction form
    38,929.20/53,722.28 = 21,024.20/x
  3. Step 3: Cross multiply
    38,929.20x = 53,722.28 × 21,024.20
  4. Step 4: Simplify right side
    38,929.20x = 1,129,467,959.18
  5. Step 5: Solve for x
    x = 1,129,467,959.18/38,929.20
  6. Step 6: Final answer
    x = 29,013.39

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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.