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Finding the Fourth Proportional to 38,827, 53,581.28 and 22,063.24

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Solution

The fourth proportional to 38,827, 53,581.28 and 22,063.24 is: 30,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,827 : 53,581.28 = 22,063.24 : x
  2. Step 2: Convert to fraction form
    38,827/53,581.28 = 22,063.24/x
  3. Step 3: Cross multiply
    38,827x = 53,581.28 × 22,063.24
  4. Step 4: Simplify right side
    38,827x = 1,182,176,640.15
  5. Step 5: Solve for x
    x = 1,182,176,640.15/38,827
  6. Step 6: Final answer
    x = 30,447.28

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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.