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Finding the Fourth Proportional to 51,996, 71,767.44 and 29,652.96

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Solution

The fourth proportional to 51,996, 71,767.44 and 29,652.96 is: 40,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,996 : 71,767.44 = 29,652.96 : x
  2. Step 2: Convert to fraction form
    51,996/71,767.44 = 29,652.96/x
  3. Step 3: Cross multiply
    51,996x = 71,767.44 × 29,652.96
  4. Step 4: Simplify right side
    51,996x = 2,128,117,027.62
  5. Step 5: Solve for x
    x = 2,128,117,027.62/51,996
  6. Step 6: Final answer
    x = 40,928.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.