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Finding the Fourth Proportional to 67,899.70, 102,003.15 and 47,163.70

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Solution

The fourth proportional to 67,899.70, 102,003.15 and 47,163.70 is: 70,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,899.70 : 102,003.15 = 47,163.70 : x
  2. Step 2: Convert to fraction form
    67,899.70/102,003.15 = 47,163.70/x
  3. Step 3: Cross multiply
    67,899.70x = 102,003.15 × 47,163.70
  4. Step 4: Simplify right side
    67,899.70x = 4,810,845,965.66
  5. Step 5: Solve for x
    x = 4,810,845,965.66/67,899.70
  6. Step 6: Final answer
    x = 70,852.24

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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.