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Finding the Fourth Proportional to 77,841.66, 107,446.86 and 57,692.10

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Solution

The fourth proportional to 77,841.66, 107,446.86 and 57,692.10 is: 79,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,841.66 : 107,446.86 = 57,692.10 : x
  2. Step 2: Convert to fraction form
    77,841.66/107,446.86 = 57,692.10/x
  3. Step 3: Cross multiply
    77,841.66x = 107,446.86 × 57,692.10
  4. Step 4: Simplify right side
    77,841.66x = 6,198,834,991.81
  5. Step 5: Solve for x
    x = 6,198,834,991.81/77,841.66
  6. Step 6: Final answer
    x = 79,633.90

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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.