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Finding the Fourth Proportional to 77,338.98, 106,695.90 and 50,471.82

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Solution

The fourth proportional to 77,338.98, 106,695.90 and 50,471.82 is: 69,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,338.98 : 106,695.90 = 50,471.82 : x
  2. Step 2: Convert to fraction form
    77,338.98/106,695.90 = 50,471.82/x
  3. Step 3: Cross multiply
    77,338.98x = 106,695.90 × 50,471.82
  4. Step 4: Simplify right side
    77,338.98x = 5,385,136,259.54
  5. Step 5: Solve for x
    x = 5,385,136,259.54/77,338.98
  6. Step 6: Final answer
    x = 69,630.30

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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.