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Finding the Fourth Proportional to 30,851.38, 42,575.72 and 17,422.93

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Solution

The fourth proportional to 30,851.38, 42,575.72 and 17,422.93 is: 24,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.38 : 42,575.72 = 17,422.93 : x
  2. Step 2: Convert to fraction form
    30,851.38/42,575.72 = 17,422.93/x
  3. Step 3: Cross multiply
    30,851.38x = 42,575.72 × 17,422.93
  4. Step 4: Simplify right side
    30,851.38x = 741,793,789.26
  5. Step 5: Solve for x
    x = 741,793,789.26/30,851.38
  6. Step 6: Final answer
    x = 24,044.10

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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.