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Finding the Fourth Proportional to 58,757.82, 81,085.79 and 31,900.33

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Solution

The fourth proportional to 58,757.82, 81,085.79 and 31,900.33 is: 44,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,757.82 : 81,085.79 = 31,900.33 : x
  2. Step 2: Convert to fraction form
    58,757.82/81,085.79 = 31,900.33/x
  3. Step 3: Cross multiply
    58,757.82x = 81,085.79 × 31,900.33
  4. Step 4: Simplify right side
    58,757.82x = 2,586,662,894.38
  5. Step 5: Solve for x
    x = 2,586,662,894.38/58,757.82
  6. Step 6: Final answer
    x = 44,022.45

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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.