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Finding the Fourth Proportional to 109,533, 164,299.50 and 26,427

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Solution

The fourth proportional to 109,533, 164,299.50 and 26,427 is: 39,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,533 : 164,299.50 = 26,427 : x
  2. Step 2: Convert to fraction form
    109,533/164,299.50 = 26,427/x
  3. Step 3: Cross multiply
    109,533x = 164,299.50 × 26,427
  4. Step 4: Simplify right side
    109,533x = 4,341,942,886.50
  5. Step 5: Solve for x
    x = 4,341,942,886.50/109,533
  6. Step 6: Final answer
    x = 39,640.50

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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.