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Finding the Fourth Proportional to 35,422.92, 48,881.76 and 20,314.80

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Solution

The fourth proportional to 35,422.92, 48,881.76 and 20,314.80 is: 28,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,422.92 : 48,881.76 = 20,314.80 : x
  2. Step 2: Convert to fraction form
    35,422.92/48,881.76 = 20,314.80/x
  3. Step 3: Cross multiply
    35,422.92x = 48,881.76 × 20,314.80
  4. Step 4: Simplify right side
    35,422.92x = 993,023,178.05
  5. Step 5: Solve for x
    x = 993,023,178.05/35,422.92
  6. Step 6: Final answer
    x = 28,033.35

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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.