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Finding the Fourth Proportional to 35,031.96, 48,344.10 and 22,456.71

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Solution

The fourth proportional to 35,031.96, 48,344.10 and 22,456.71 is: 30,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,031.96 : 48,344.10 = 22,456.71 : x
  2. Step 2: Convert to fraction form
    35,031.96/48,344.10 = 22,456.71/x
  3. Step 3: Cross multiply
    35,031.96x = 48,344.10 × 22,456.71
  4. Step 4: Simplify right side
    35,031.96x = 1,085,649,433.91
  5. Step 5: Solve for x
    x = 1,085,649,433.91/35,031.96
  6. Step 6: Final answer
    x = 30,990.26

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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.