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Finding the Fourth Proportional to 109,701, 164,551.50 and 26,595

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Solution

The fourth proportional to 109,701, 164,551.50 and 26,595 is: 39,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,701 : 164,551.50 = 26,595 : x
  2. Step 2: Convert to fraction form
    109,701/164,551.50 = 26,595/x
  3. Step 3: Cross multiply
    109,701x = 164,551.50 × 26,595
  4. Step 4: Simplify right side
    109,701x = 4,376,247,142.50
  5. Step 5: Solve for x
    x = 4,376,247,142.50/109,701
  6. Step 6: Final answer
    x = 39,892.50

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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.