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Finding the Fourth Proportional to 66,776.57, 100,164.48 and 16,856.46

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Solution

The fourth proportional to 66,776.57, 100,164.48 and 16,856.46 is: 25,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,776.57 : 100,164.48 = 16,856.46 : x
  2. Step 2: Convert to fraction form
    66,776.57/100,164.48 = 16,856.46/x
  3. Step 3: Cross multiply
    66,776.57x = 100,164.48 × 16,856.46
  4. Step 4: Simplify right side
    66,776.57x = 1,688,418,487.33
  5. Step 5: Solve for x
    x = 1,688,418,487.33/66,776.57
  6. Step 6: Final answer
    x = 25,284.59

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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.