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Finding the Fourth Proportional to 35,031.75, 48,343.82 and 22,456.50

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Solution

The fourth proportional to 35,031.75, 48,343.82 and 22,456.50 is: 30,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,031.75 : 48,343.82 = 22,456.50 : x
  2. Step 2: Convert to fraction form
    35,031.75/48,343.82 = 22,456.50/x
  3. Step 3: Cross multiply
    35,031.75x = 48,343.82 × 22,456.50
  4. Step 4: Simplify right side
    35,031.75x = 1,085,632,881.55
  5. Step 5: Solve for x
    x = 1,085,632,881.55/35,031.75
  6. Step 6: Final answer
    x = 30,989.97

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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.