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Finding the Fourth Proportional to 109,553.96, 164,349.84 and 34,672.88

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Solution

The fourth proportional to 109,553.96, 164,349.84 and 34,672.88 is: 52,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,553.96 : 164,349.84 = 34,672.88 : x
  2. Step 2: Convert to fraction form
    109,553.96/164,349.84 = 34,672.88/x
  3. Step 3: Cross multiply
    109,553.96x = 164,349.84 × 34,672.88
  4. Step 4: Simplify right side
    109,553.96x = 5,698,482,280.34
  5. Step 5: Solve for x
    x = 5,698,482,280.34/109,553.96
  6. Step 6: Final answer
    x = 52,015.30

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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.