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Finding the Fourth Proportional to 109,856.28, 164,776.05 and 34,978.80

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Solution

The fourth proportional to 109,856.28, 164,776.05 and 34,978.80 is: 52,465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,856.28 : 164,776.05 = 34,978.80 : x
  2. Step 2: Convert to fraction form
    109,856.28/164,776.05 = 34,978.80/x
  3. Step 3: Cross multiply
    109,856.28x = 164,776.05 × 34,978.80
  4. Step 4: Simplify right side
    109,856.28x = 5,763,668,497.74
  5. Step 5: Solve for x
    x = 5,763,668,497.74/109,856.28
  6. Step 6: Final answer
    x = 52,465.53

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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.