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Finding the Fourth Proportional to 109,637, 164,481.50 and 35,765

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Solution

The fourth proportional to 109,637, 164,481.50 and 35,765 is: 53,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,637 : 164,481.50 = 35,765 : x
  2. Step 2: Convert to fraction form
    109,637/164,481.50 = 35,765/x
  3. Step 3: Cross multiply
    109,637x = 164,481.50 × 35,765
  4. Step 4: Simplify right side
    109,637x = 5,882,680,847.50
  5. Step 5: Solve for x
    x = 5,882,680,847.50/109,637
  6. Step 6: Final answer
    x = 53,655.98

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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.