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Finding the Fourth Proportional to 35,144.48, 48,498.17 and 20,042

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Solution

The fourth proportional to 35,144.48, 48,498.17 and 20,042 is: 27,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,144.48 : 48,498.17 = 20,042 : x
  2. Step 2: Convert to fraction form
    35,144.48/48,498.17 = 20,042/x
  3. Step 3: Cross multiply
    35,144.48x = 48,498.17 × 20,042
  4. Step 4: Simplify right side
    35,144.48x = 972,000,323.14
  5. Step 5: Solve for x
    x = 972,000,323.14/35,144.48
  6. Step 6: Final answer
    x = 27,657.27

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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.