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Finding the Fourth Proportional to 106,736.65, 160,102.22 and 34,689.16

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Solution

The fourth proportional to 106,736.65, 160,102.22 and 34,689.16 is: 52,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,736.65 : 160,102.22 = 34,689.16 : x
  2. Step 2: Convert to fraction form
    106,736.65/160,102.22 = 34,689.16/x
  3. Step 3: Cross multiply
    106,736.65x = 160,102.22 × 34,689.16
  4. Step 4: Simplify right side
    106,736.65x = 5,553,810,551.98
  5. Step 5: Solve for x
    x = 5,553,810,551.98/106,736.65
  6. Step 6: Final answer
    x = 52,032.84

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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.