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Finding the Fourth Proportional to 75,980.33, 104,849.64 and 41,990.10

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Solution

The fourth proportional to 75,980.33, 104,849.64 and 41,990.10 is: 57,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,980.33 : 104,849.64 = 41,990.10 : x
  2. Step 2: Convert to fraction form
    75,980.33/104,849.64 = 41,990.10/x
  3. Step 3: Cross multiply
    75,980.33x = 104,849.64 × 41,990.10
  4. Step 4: Simplify right side
    75,980.33x = 4,402,646,475.38
  5. Step 5: Solve for x
    x = 4,402,646,475.38/75,980.33
  6. Step 6: Final answer
    x = 57,944.56

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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.