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Finding the Fourth Proportional to 52,205.50, 72,043.68 and 29,849.50

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Solution

The fourth proportional to 52,205.50, 72,043.68 and 29,849.50 is: 41,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,205.50 : 72,043.68 = 29,849.50 : x
  2. Step 2: Convert to fraction form
    52,205.50/72,043.68 = 29,849.50/x
  3. Step 3: Cross multiply
    52,205.50x = 72,043.68 × 29,849.50
  4. Step 4: Simplify right side
    52,205.50x = 2,150,467,826.16
  5. Step 5: Solve for x
    x = 2,150,467,826.16/52,205.50
  6. Step 6: Final answer
    x = 41,192.36

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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.