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Finding the Fourth Proportional to 75,790.53, 104,593.41 and 41,800.50

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Solution

The fourth proportional to 75,790.53, 104,593.41 and 41,800.50 is: 57,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,790.53 : 104,593.41 = 41,800.50 : x
  2. Step 2: Convert to fraction form
    75,790.53/104,593.41 = 41,800.50/x
  3. Step 3: Cross multiply
    75,790.53x = 104,593.41 × 41,800.50
  4. Step 4: Simplify right side
    75,790.53x = 4,372,056,834.71
  5. Step 5: Solve for x
    x = 4,372,056,834.71/75,790.53
  6. Step 6: Final answer
    x = 57,686.06

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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.