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Finding the Fourth Proportional to 58,728.74, 81,046.24 and 31,871.50

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Solution

The fourth proportional to 58,728.74, 81,046.24 and 31,871.50 is: 43,982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,728.74 : 81,046.24 = 31,871.50 : x
  2. Step 2: Convert to fraction form
    58,728.74/81,046.24 = 31,871.50/x
  3. Step 3: Cross multiply
    58,728.74x = 81,046.24 × 31,871.50
  4. Step 4: Simplify right side
    58,728.74x = 2,583,064,955.87
  5. Step 5: Solve for x
    x = 2,583,064,955.87/58,728.74
  6. Step 6: Final answer
    x = 43,982.98

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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.