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Finding the Fourth Proportional to 69,650.60, 96,145.26 and 47,003

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Solution

The fourth proportional to 69,650.60, 96,145.26 and 47,003 is: 64,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,650.60 : 96,145.26 = 47,003 : x
  2. Step 2: Convert to fraction form
    69,650.60/96,145.26 = 47,003/x
  3. Step 3: Cross multiply
    69,650.60x = 96,145.26 × 47,003
  4. Step 4: Simplify right side
    69,650.60x = 4,519,115,655.78
  5. Step 5: Solve for x
    x = 4,519,115,655.78/69,650.60
  6. Step 6: Final answer
    x = 64,882.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.