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Finding the Fourth Proportional to 47,967.92, 72,001.78 and 35,331.94

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Solution

The fourth proportional to 47,967.92, 72,001.78 and 35,331.94 is: 53,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,967.92 : 72,001.78 = 35,331.94 : x
  2. Step 2: Convert to fraction form
    47,967.92/72,001.78 = 35,331.94/x
  3. Step 3: Cross multiply
    47,967.92x = 72,001.78 × 35,331.94
  4. Step 4: Simplify right side
    47,967.92x = 2,543,962,570.85
  5. Step 5: Solve for x
    x = 2,543,962,570.85/47,967.92
  6. Step 6: Final answer
    x = 53,034.67

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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.