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Finding the Fourth Proportional to 51,849, 71,551.62 and 29,493

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Solution

The fourth proportional to 51,849, 71,551.62 and 29,493 is: 40,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,849 : 71,551.62 = 29,493 : x
  2. Step 2: Convert to fraction form
    51,849/71,551.62 = 29,493/x
  3. Step 3: Cross multiply
    51,849x = 71,551.62 × 29,493
  4. Step 4: Simplify right side
    51,849x = 2,110,271,928.66
  5. Step 5: Solve for x
    x = 2,110,271,928.66/51,849
  6. Step 6: Final answer
    x = 40,700.34

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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.