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Finding the Fourth Proportional to 109,956.70, 164,925.45 and 36,084.70

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Solution

The fourth proportional to 109,956.70, 164,925.45 and 36,084.70 is: 54,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,956.70 : 164,925.45 = 36,084.70 : x
  2. Step 2: Convert to fraction form
    109,956.70/164,925.45 = 36,084.70/x
  3. Step 3: Cross multiply
    109,956.70x = 164,925.45 × 36,084.70
  4. Step 4: Simplify right side
    109,956.70x = 5,951,285,385.62
  5. Step 5: Solve for x
    x = 5,951,285,385.62/109,956.70
  6. Step 6: Final answer
    x = 54,123.90

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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.