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Finding the Fourth Proportional to 109,808.64, 164,711.34 and 34,933.32

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Solution

The fourth proportional to 109,808.64, 164,711.34 and 34,933.32 is: 52,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,808.64 : 164,711.34 = 34,933.32 : x
  2. Step 2: Convert to fraction form
    109,808.64/164,711.34 = 34,933.32/x
  3. Step 3: Cross multiply
    109,808.64x = 164,711.34 × 34,933.32
  4. Step 4: Simplify right side
    109,808.64x = 5,753,913,947.85
  5. Step 5: Solve for x
    x = 5,753,913,947.85/109,808.64
  6. Step 6: Final answer
    x = 52,399.46

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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.