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Finding the Fourth Proportional to 52,267.82, 72,113.69 and 29,603.21

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Solution

The fourth proportional to 52,267.82, 72,113.69 and 29,603.21 is: 40,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,267.82 : 72,113.69 = 29,603.21 : x
  2. Step 2: Convert to fraction form
    52,267.82/72,113.69 = 29,603.21/x
  3. Step 3: Cross multiply
    52,267.82x = 72,113.69 × 29,603.21
  4. Step 4: Simplify right side
    52,267.82x = 2,134,796,422.38
  5. Step 5: Solve for x
    x = 2,134,796,422.38/52,267.82
  6. Step 6: Final answer
    x = 40,843.42

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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.