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Finding the Fourth Proportional to 27,873.60, 41,822.12 and 17,352.42

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Solution

The fourth proportional to 27,873.60, 41,822.12 and 17,352.42 is: 26,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.60 : 41,822.12 = 17,352.42 : x
  2. Step 2: Convert to fraction form
    27,873.60/41,822.12 = 17,352.42/x
  3. Step 3: Cross multiply
    27,873.60x = 41,822.12 × 17,352.42
  4. Step 4: Simplify right side
    27,873.60x = 725,715,009.32
  5. Step 5: Solve for x
    x = 725,715,009.32/27,873.60
  6. Step 6: Final answer
    x = 26,035.93

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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.