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Finding the Fourth Proportional to 77,234.92, 106,578.48 and 43,235.57

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Solution

The fourth proportional to 77,234.92, 106,578.48 and 43,235.57 is: 59,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,234.92 : 106,578.48 = 43,235.57 : x
  2. Step 2: Convert to fraction form
    77,234.92/106,578.48 = 43,235.57/x
  3. Step 3: Cross multiply
    77,234.92x = 106,578.48 × 43,235.57
  4. Step 4: Simplify right side
    77,234.92x = 4,607,981,761.11
  5. Step 5: Solve for x
    x = 4,607,981,761.11/77,234.92
  6. Step 6: Final answer
    x = 59,661.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.