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Finding the Fourth Proportional to 38,781.28, 53,518.22 and 22,014.28

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Solution

The fourth proportional to 38,781.28, 53,518.22 and 22,014.28 is: 30,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,781.28 : 53,518.22 = 22,014.28 : x
  2. Step 2: Convert to fraction form
    38,781.28/53,518.22 = 22,014.28/x
  3. Step 3: Cross multiply
    38,781.28x = 53,518.22 × 22,014.28
  4. Step 4: Simplify right side
    38,781.28x = 1,178,165,119.56
  5. Step 5: Solve for x
    x = 1,178,165,119.56/38,781.28
  6. Step 6: Final answer
    x = 30,379.74

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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.