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Finding the Fourth Proportional to 30,116.31, 41,514.03 and 24,801.90

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Solution

The fourth proportional to 30,116.31, 41,514.03 and 24,801.90 is: 34,188.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,116.31 : 41,514.03 = 24,801.90 : x
  2. Step 2: Convert to fraction form
    30,116.31/41,514.03 = 24,801.90/x
  3. Step 3: Cross multiply
    30,116.31x = 41,514.03 × 24,801.90
  4. Step 4: Simplify right side
    30,116.31x = 1,029,626,820.66
  5. Step 5: Solve for x
    x = 1,029,626,820.66/30,116.31
  6. Step 6: Final answer
    x = 34,188.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.