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Finding the Fourth Proportional to 52,046.91, 71,824.14 and 28,173.06

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Solution

The fourth proportional to 52,046.91, 71,824.14 and 28,173.06 is: 38,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046.91 : 71,824.14 = 28,173.06 : x
  2. Step 2: Convert to fraction form
    52,046.91/71,824.14 = 28,173.06/x
  3. Step 3: Cross multiply
    52,046.91x = 71,824.14 × 28,173.06
  4. Step 4: Simplify right side
    52,046.91x = 2,023,505,805.67
  5. Step 5: Solve for x
    x = 2,023,505,805.67/52,046.91
  6. Step 6: Final answer
    x = 38,878.50

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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.