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Finding the Fourth Proportional to 51,753.76, 77,630.64 and 41,316.64

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Solution

The fourth proportional to 51,753.76, 77,630.64 and 41,316.64 is: 61,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,753.76 : 77,630.64 = 41,316.64 : x
  2. Step 2: Convert to fraction form
    51,753.76/77,630.64 = 41,316.64/x
  3. Step 3: Cross multiply
    51,753.76x = 77,630.64 × 41,316.64
  4. Step 4: Simplify right side
    51,753.76x = 3,207,437,205.85
  5. Step 5: Solve for x
    x = 3,207,437,205.85/51,753.76
  6. Step 6: Final answer
    x = 61,974.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.