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Finding the Fourth Proportional to 106,568.52, 159,803.10 and 31,661.16

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Solution

The fourth proportional to 106,568.52, 159,803.10 and 31,661.16 is: 47,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,568.52 : 159,803.10 = 31,661.16 : x
  2. Step 2: Convert to fraction form
    106,568.52/159,803.10 = 31,661.16/x
  3. Step 3: Cross multiply
    106,568.52x = 159,803.10 × 31,661.16
  4. Step 4: Simplify right side
    106,568.52x = 5,059,551,517.60
  5. Step 5: Solve for x
    x = 5,059,551,517.60/106,568.52
  6. Step 6: Final answer
    x = 47,476.98

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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.