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Finding the Fourth Proportional to 38,854.42, 53,614.05 and 21,858.09

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Solution

The fourth proportional to 38,854.42, 53,614.05 and 21,858.09 is: 30,161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,854.42 : 53,614.05 = 21,858.09 : x
  2. Step 2: Convert to fraction form
    38,854.42/53,614.05 = 21,858.09/x
  3. Step 3: Cross multiply
    38,854.42x = 53,614.05 × 21,858.09
  4. Step 4: Simplify right side
    38,854.42x = 1,171,900,730.16
  5. Step 5: Solve for x
    x = 1,171,900,730.16/38,854.42
  6. Step 6: Final answer
    x = 30,161.32

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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.