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Finding the Fourth Proportional to 47,650.50, 71,385.53 and 31,807.76

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Solution

The fourth proportional to 47,650.50, 71,385.53 and 31,807.76 is: 47,651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,650.50 : 71,385.53 = 31,807.76 : x
  2. Step 2: Convert to fraction form
    47,650.50/71,385.53 = 31,807.76/x
  3. Step 3: Cross multiply
    47,650.50x = 71,385.53 × 31,807.76
  4. Step 4: Simplify right side
    47,650.50x = 2,270,613,448.79
  5. Step 5: Solve for x
    x = 2,270,613,448.79/47,650.50
  6. Step 6: Final answer
    x = 47,651.41

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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.