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Finding the Fourth Proportional to 29,175.58, 43,764 and 10,456.84

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Solution

The fourth proportional to 29,175.58, 43,764 and 10,456.84 is: 15,685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,175.58 : 43,764 = 10,456.84 : x
  2. Step 2: Convert to fraction form
    29,175.58/43,764 = 10,456.84/x
  3. Step 3: Cross multiply
    29,175.58x = 43,764 × 10,456.84
  4. Step 4: Simplify right side
    29,175.58x = 457,633,145.76
  5. Step 5: Solve for x
    x = 457,633,145.76/29,175.58
  6. Step 6: Final answer
    x = 15,685.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.