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Finding the Fourth Proportional to 58,981.68, 81,394.56 and 33,831

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Solution

The fourth proportional to 58,981.68, 81,394.56 and 33,831 is: 46,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,981.68 : 81,394.56 = 33,831 : x
  2. Step 2: Convert to fraction form
    58,981.68/81,394.56 = 33,831/x
  3. Step 3: Cross multiply
    58,981.68x = 81,394.56 × 33,831
  4. Step 4: Simplify right side
    58,981.68x = 2,753,659,359.36
  5. Step 5: Solve for x
    x = 2,753,659,359.36/58,981.68
  6. Step 6: Final answer
    x = 46,686.69

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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.