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Finding the Fourth Proportional to 47,794.46, 71,700.80 and 22,836.47

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Solution

The fourth proportional to 47,794.46, 71,700.80 and 22,836.47 is: 34,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,794.46 : 71,700.80 = 22,836.47 : x
  2. Step 2: Convert to fraction form
    47,794.46/71,700.80 = 22,836.47/x
  3. Step 3: Cross multiply
    47,794.46x = 71,700.80 × 22,836.47
  4. Step 4: Simplify right side
    47,794.46x = 1,637,392,695.49
  5. Step 5: Solve for x
    x = 1,637,392,695.49/47,794.46
  6. Step 6: Final answer
    x = 34,259.05

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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.