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Finding the Fourth Proportional to 106,601.36, 159,871.80 and 31,718.48

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Solution

The fourth proportional to 106,601.36, 159,871.80 and 31,718.48 is: 47,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,601.36 : 159,871.80 = 31,718.48 : x
  2. Step 2: Convert to fraction form
    106,601.36/159,871.80 = 31,718.48/x
  3. Step 3: Cross multiply
    106,601.36x = 159,871.80 × 31,718.48
  4. Step 4: Simplify right side
    106,601.36x = 5,070,890,490.86
  5. Step 5: Solve for x
    x = 5,070,890,490.86/106,601.36
  6. Step 6: Final answer
    x = 47,568.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.