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Finding the Fourth Proportional to 75,888.50, 104,720.72 and 41,891.49

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Solution

The fourth proportional to 75,888.50, 104,720.72 and 41,891.49 is: 57,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,888.50 : 104,720.72 = 41,891.49 : x
  2. Step 2: Convert to fraction form
    75,888.50/104,720.72 = 41,891.49/x
  3. Step 3: Cross multiply
    75,888.50x = 104,720.72 × 41,891.49
  4. Step 4: Simplify right side
    75,888.50x = 4,386,906,785.22
  5. Step 5: Solve for x
    x = 4,386,906,785.22/75,888.50
  6. Step 6: Final answer
    x = 57,807.27

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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.