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Finding the Fourth Proportional to 109,855.44, 164,783.12 and 34,998.53

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Solution

The fourth proportional to 109,855.44, 164,783.12 and 34,998.53 is: 52,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,855.44 : 164,783.12 = 34,998.53 : x
  2. Step 2: Convert to fraction form
    109,855.44/164,783.12 = 34,998.53/x
  3. Step 3: Cross multiply
    109,855.44x = 164,783.12 × 34,998.53
  4. Step 4: Simplify right side
    109,855.44x = 5,767,165,969.91
  5. Step 5: Solve for x
    x = 5,767,165,969.91/109,855.44
  6. Step 6: Final answer
    x = 52,497.77

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1.5x scale

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.