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Finding the Fourth Proportional to 52,107.70, 71,908.32 and 29,454.03

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Solution

The fourth proportional to 52,107.70, 71,908.32 and 29,454.03 is: 40,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,107.70 : 71,908.32 = 29,454.03 : x
  2. Step 2: Convert to fraction form
    52,107.70/71,908.32 = 29,454.03/x
  3. Step 3: Cross multiply
    52,107.70x = 71,908.32 × 29,454.03
  4. Step 4: Simplify right side
    52,107.70x = 2,117,989,454.99
  5. Step 5: Solve for x
    x = 2,117,989,454.99/52,107.70
  6. Step 6: Final answer
    x = 40,646.38

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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.