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Finding the Fourth Proportional to 109,052.75, 163,579.17 and 34,178.71

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Solution

The fourth proportional to 109,052.75, 163,579.17 and 34,178.71 is: 51,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,052.75 : 163,579.17 = 34,178.71 : x
  2. Step 2: Convert to fraction form
    109,052.75/163,579.17 = 34,178.71/x
  3. Step 3: Cross multiply
    109,052.75x = 163,579.17 × 34,178.71
  4. Step 4: Simplify right side
    109,052.75x = 5,590,924,339.02
  5. Step 5: Solve for x
    x = 5,590,924,339.02/109,052.75
  6. Step 6: Final answer
    x = 51,268.07

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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.