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Finding the Fourth Proportional to 38,851.20, 53,614.08 and 21,854.16

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Solution

The fourth proportional to 38,851.20, 53,614.08 and 21,854.16 is: 30,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,851.20 : 53,614.08 = 21,854.16 : x
  2. Step 2: Convert to fraction form
    38,851.20/53,614.08 = 21,854.16/x
  3. Step 3: Cross multiply
    38,851.20x = 53,614.08 × 21,854.16
  4. Step 4: Simplify right side
    38,851.20x = 1,171,690,682.57
  5. Step 5: Solve for x
    x = 1,171,690,682.57/38,851.20
  6. Step 6: Final answer
    x = 30,158.42

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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.