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Finding the Fourth Proportional to 75,687.96, 104,472 and 43,871.16

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Solution

The fourth proportional to 75,687.96, 104,472 and 43,871.16 is: 60,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,687.96 : 104,472 = 43,871.16 : x
  2. Step 2: Convert to fraction form
    75,687.96/104,472 = 43,871.16/x
  3. Step 3: Cross multiply
    75,687.96x = 104,472 × 43,871.16
  4. Step 4: Simplify right side
    75,687.96x = 4,583,307,827.52
  5. Step 5: Solve for x
    x = 4,583,307,827.52/75,687.96
  6. Step 6: Final answer
    x = 60,555.31

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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.