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Finding the Fourth Proportional to 47,497.59, 71,199.41 and 22,493.70

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Solution

The fourth proportional to 47,497.59, 71,199.41 and 22,493.70 is: 33,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,497.59 : 71,199.41 = 22,493.70 : x
  2. Step 2: Convert to fraction form
    47,497.59/71,199.41 = 22,493.70/x
  3. Step 3: Cross multiply
    47,497.59x = 71,199.41 × 22,493.70
  4. Step 4: Simplify right side
    47,497.59x = 1,601,538,056.25
  5. Step 5: Solve for x
    x = 1,601,538,056.25/47,497.59
  6. Step 6: Final answer
    x = 33,718.30

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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.