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Finding the Fourth Proportional to 106,867.32, 160,311.66 and 36,737.40

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Solution

The fourth proportional to 106,867.32, 160,311.66 and 36,737.40 is: 55,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,867.32 : 160,311.66 = 36,737.40 : x
  2. Step 2: Convert to fraction form
    106,867.32/160,311.66 = 36,737.40/x
  3. Step 3: Cross multiply
    106,867.32x = 160,311.66 × 36,737.40
  4. Step 4: Simplify right side
    106,867.32x = 5,889,433,578.08
  5. Step 5: Solve for x
    x = 5,889,433,578.08/106,867.32
  6. Step 6: Final answer
    x = 55,109.77

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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.