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Finding the Fourth Proportional to 47,793.60, 71,794.08 and 46,044

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Solution

The fourth proportional to 47,793.60, 71,794.08 and 46,044 is: 69,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,793.60 : 71,794.08 = 46,044 : x
  2. Step 2: Convert to fraction form
    47,793.60/71,794.08 = 46,044/x
  3. Step 3: Cross multiply
    47,793.60x = 71,794.08 × 46,044
  4. Step 4: Simplify right side
    47,793.60x = 3,305,686,619.52
  5. Step 5: Solve for x
    x = 3,305,686,619.52/47,793.60
  6. Step 6: Final answer
    x = 69,165.88

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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.