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Finding the Fourth Proportional to 38,854.41, 53,618.49 and 21,858.65

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Solution

The fourth proportional to 38,854.41, 53,618.49 and 21,858.65 is: 30,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,854.41 : 53,618.49 = 21,858.65 : x
  2. Step 2: Convert to fraction form
    38,854.41/53,618.49 = 21,858.65/x
  3. Step 3: Cross multiply
    38,854.41x = 53,618.49 × 21,858.65
  4. Step 4: Simplify right side
    38,854.41x = 1,172,027,756.23
  5. Step 5: Solve for x
    x = 1,172,027,756.23/38,854.41
  6. Step 6: Final answer
    x = 30,164.60

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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.