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Finding the Fourth Proportional to 75,924.38, 104,775.12 and 41,935.10

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Solution

The fourth proportional to 75,924.38, 104,775.12 and 41,935.10 is: 57,870.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,924.38 : 104,775.12 = 41,935.10 : x
  2. Step 2: Convert to fraction form
    75,924.38/104,775.12 = 41,935.10/x
  3. Step 3: Cross multiply
    75,924.38x = 104,775.12 × 41,935.10
  4. Step 4: Simplify right side
    75,924.38x = 4,393,755,134.71
  5. Step 5: Solve for x
    x = 4,393,755,134.71/75,924.38
  6. Step 6: Final answer
    x = 57,870.15

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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.