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Finding the Fourth Proportional to 58,728.83, 81,046.38 and 31,871.57

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Solution

The fourth proportional to 58,728.83, 81,046.38 and 31,871.57 is: 43,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,728.83 : 81,046.38 = 31,871.57 : x
  2. Step 2: Convert to fraction form
    58,728.83/81,046.38 = 31,871.57/x
  3. Step 3: Cross multiply
    58,728.83x = 81,046.38 × 31,871.57
  4. Step 4: Simplify right side
    58,728.83x = 2,583,074,968.18
  5. Step 5: Solve for x
    x = 2,583,074,968.18/58,728.83
  6. Step 6: Final answer
    x = 43,983.09

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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.