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Finding the Fourth Proportional to 111,855.60, 167,787.24 and 37,974

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Solution

The fourth proportional to 111,855.60, 167,787.24 and 37,974 is: 56,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,855.60 : 167,787.24 = 37,974 : x
  2. Step 2: Convert to fraction form
    111,855.60/167,787.24 = 37,974/x
  3. Step 3: Cross multiply
    111,855.60x = 167,787.24 × 37,974
  4. Step 4: Simplify right side
    111,855.60x = 6,371,552,651.76
  5. Step 5: Solve for x
    x = 6,371,552,651.76/111,855.60
  6. Step 6: Final answer
    x = 56,962.30

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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.