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Finding the Fourth Proportional to 47,833.62, 71,602.74 and 31,157.74

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Solution

The fourth proportional to 47,833.62, 71,602.74 and 31,157.74 is: 46,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,833.62 : 71,602.74 = 31,157.74 : x
  2. Step 2: Convert to fraction form
    47,833.62/71,602.74 = 31,157.74/x
  3. Step 3: Cross multiply
    47,833.62x = 71,602.74 × 31,157.74
  4. Step 4: Simplify right side
    47,833.62x = 2,230,979,556.21
  5. Step 5: Solve for x
    x = 2,230,979,556.21/47,833.62
  6. Step 6: Final answer
    x = 46,640.41

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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.