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Finding the Fourth Proportional to 75,693.78, 104,465.57 and 41,705.71

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Solution

The fourth proportional to 75,693.78, 104,465.57 and 41,705.71 is: 57,558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,693.78 : 104,465.57 = 41,705.71 : x
  2. Step 2: Convert to fraction form
    75,693.78/104,465.57 = 41,705.71/x
  3. Step 3: Cross multiply
    75,693.78x = 104,465.57 × 41,705.71
  4. Step 4: Simplify right side
    75,693.78x = 4,356,810,297.71
  5. Step 5: Solve for x
    x = 4,356,810,297.71/75,693.78
  6. Step 6: Final answer
    x = 57,558.37

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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.