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Finding the Fourth Proportional to 58,729.84, 81,046.74 and 31,871.65

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Solution

The fourth proportional to 58,729.84, 81,046.74 and 31,871.65 is: 43,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,729.84 : 81,046.74 = 31,871.65 : x
  2. Step 2: Convert to fraction form
    58,729.84/81,046.74 = 31,871.65/x
  3. Step 3: Cross multiply
    58,729.84x = 81,046.74 × 31,871.65
  4. Step 4: Simplify right side
    58,729.84x = 2,583,093,330.92
  5. Step 5: Solve for x
    x = 2,583,093,330.92/58,729.84
  6. Step 6: Final answer
    x = 43,982.64

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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.