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Finding the Fourth Proportional to 109,551.96, 164,346.84 and 34,670.88

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Solution

The fourth proportional to 109,551.96, 164,346.84 and 34,670.88 is: 52,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,551.96 : 164,346.84 = 34,670.88 : x
  2. Step 2: Convert to fraction form
    109,551.96/164,346.84 = 34,670.88/x
  3. Step 3: Cross multiply
    109,551.96x = 164,346.84 × 34,670.88
  4. Step 4: Simplify right side
    109,551.96x = 5,698,049,568.02
  5. Step 5: Solve for x
    x = 5,698,049,568.02/109,551.96
  6. Step 6: Final answer
    x = 52,012.30

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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.