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Finding the Fourth Proportional to 70,847.68, 97,824.36 and 47,007.76

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Solution

The fourth proportional to 70,847.68, 97,824.36 and 47,007.76 is: 64,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,847.68 : 97,824.36 = 47,007.76 : x
  2. Step 2: Convert to fraction form
    70,847.68/97,824.36 = 47,007.76/x
  3. Step 3: Cross multiply
    70,847.68x = 97,824.36 × 47,007.76
  4. Step 4: Simplify right side
    70,847.68x = 4,598,504,037.03
  5. Step 5: Solve for x
    x = 4,598,504,037.03/70,847.68
  6. Step 6: Final answer
    x = 64,906.91

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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.