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Finding the Fourth Proportional to 39,758.46, 54,867.99 and 21,854.10

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Solution

The fourth proportional to 39,758.46, 54,867.99 and 21,854.10 is: 30,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,758.46 : 54,867.99 = 21,854.10 : x
  2. Step 2: Convert to fraction form
    39,758.46/54,867.99 = 21,854.10/x
  3. Step 3: Cross multiply
    39,758.46x = 54,867.99 × 21,854.10
  4. Step 4: Simplify right side
    39,758.46x = 1,199,090,540.26
  5. Step 5: Solve for x
    x = 1,199,090,540.26/39,758.46
  6. Step 6: Final answer
    x = 30,159.38

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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.