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Finding the Fourth Proportional to 106,866.32, 160,310.16 and 36,736.40

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Solution

The fourth proportional to 106,866.32, 160,310.16 and 36,736.40 is: 55,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,866.32 : 160,310.16 = 36,736.40 : x
  2. Step 2: Convert to fraction form
    106,866.32/160,310.16 = 36,736.40/x
  3. Step 3: Cross multiply
    106,866.32x = 160,310.16 × 36,736.40
  4. Step 4: Simplify right side
    106,866.32x = 5,889,218,161.82
  5. Step 5: Solve for x
    x = 5,889,218,161.82/106,866.32
  6. Step 6: Final answer
    x = 55,108.27

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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.