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Finding the Fourth Proportional to 52,046.04, 71,823.72 and 28,173

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Solution

The fourth proportional to 52,046.04, 71,823.72 and 28,173 is: 38,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046.04 : 71,823.72 = 28,173 : x
  2. Step 2: Convert to fraction form
    52,046.04/71,823.72 = 28,173/x
  3. Step 3: Cross multiply
    52,046.04x = 71,823.72 × 28,173
  4. Step 4: Simplify right side
    52,046.04x = 2,023,489,663.56
  5. Step 5: Solve for x
    x = 2,023,489,663.56/52,046.04
  6. Step 6: Final answer
    x = 38,878.84

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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.