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Finding the Fourth Proportional to 77,211.38, 106,546.77 and 43,214.15

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Solution

The fourth proportional to 77,211.38, 106,546.77 and 43,214.15 is: 59,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,211.38 : 106,546.77 = 43,214.15 : x
  2. Step 2: Convert to fraction form
    77,211.38/106,546.77 = 43,214.15/x
  3. Step 3: Cross multiply
    77,211.38x = 106,546.77 × 43,214.15
  4. Step 4: Simplify right side
    77,211.38x = 4,604,328,367.16
  5. Step 5: Solve for x
    x = 4,604,328,367.16/77,211.38
  6. Step 6: Final answer
    x = 59,632.77

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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.