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Finding the Fourth Proportional to 56,680.50, 78,219.10 and 31,530

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Solution

The fourth proportional to 56,680.50, 78,219.10 and 31,530 is: 43,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,680.50 : 78,219.10 = 31,530 : x
  2. Step 2: Convert to fraction form
    56,680.50/78,219.10 = 31,530/x
  3. Step 3: Cross multiply
    56,680.50x = 78,219.10 × 31,530
  4. Step 4: Simplify right side
    56,680.50x = 2,466,248,223
  5. Step 5: Solve for x
    x = 2,466,248,223/56,680.50
  6. Step 6: Final answer
    x = 43,511.41

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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.