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Finding the Fourth Proportional to 106,522.32, 159,808.04 and 31,640.80

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Solution

The fourth proportional to 106,522.32, 159,808.04 and 31,640.80 is: 47,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,522.32 : 159,808.04 = 31,640.80 : x
  2. Step 2: Convert to fraction form
    106,522.32/159,808.04 = 31,640.80/x
  3. Step 3: Cross multiply
    106,522.32x = 159,808.04 × 31,640.80
  4. Step 4: Simplify right side
    106,522.32x = 5,056,454,232.03
  5. Step 5: Solve for x
    x = 5,056,454,232.03/106,522.32
  6. Step 6: Final answer
    x = 47,468.50

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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.