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Finding the Fourth Proportional to 75,796, 104,597.06 and 41,807.66

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Solution

The fourth proportional to 75,796, 104,597.06 and 41,807.66 is: 57,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,796 : 104,597.06 = 41,807.66 : x
  2. Step 2: Convert to fraction form
    75,796/104,597.06 = 41,807.66/x
  3. Step 3: Cross multiply
    75,796x = 104,597.06 × 41,807.66
  4. Step 4: Simplify right side
    75,796x = 4,372,958,321.48
  5. Step 5: Solve for x
    x = 4,372,958,321.48/75,796
  6. Step 6: Final answer
    x = 57,693.79

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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.