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Finding the Fourth Proportional to 52,222.50, 72,067.14 and 29,866.50

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Solution

The fourth proportional to 52,222.50, 72,067.14 and 29,866.50 is: 41,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,222.50 : 72,067.14 = 29,866.50 : x
  2. Step 2: Convert to fraction form
    52,222.50/72,067.14 = 29,866.50/x
  3. Step 3: Cross multiply
    52,222.50x = 72,067.14 × 29,866.50
  4. Step 4: Simplify right side
    52,222.50x = 2,152,393,236.81
  5. Step 5: Solve for x
    x = 2,152,393,236.81/52,222.50
  6. Step 6: Final answer
    x = 41,215.82

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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.