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Finding the Fourth Proportional to 71,535.95, 98,731.83 and 41,315.84

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Solution

The fourth proportional to 71,535.95, 98,731.83 and 41,315.84 is: 57,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,535.95 : 98,731.83 = 41,315.84 : x
  2. Step 2: Convert to fraction form
    71,535.95/98,731.83 = 41,315.84/x
  3. Step 3: Cross multiply
    71,535.95x = 98,731.83 × 41,315.84
  4. Step 4: Simplify right side
    71,535.95x = 4,079,187,997.53
  5. Step 5: Solve for x
    x = 4,079,187,997.53/71,535.95
  6. Step 6: Final answer
    x = 57,022.91

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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.