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Finding the Fourth Proportional to 23,168.45, 31,948.58 and 19,822.34

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Solution

The fourth proportional to 23,168.45, 31,948.58 and 19,822.34 is: 27,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,168.45 : 31,948.58 = 19,822.34 : x
  2. Step 2: Convert to fraction form
    23,168.45/31,948.58 = 19,822.34/x
  3. Step 3: Cross multiply
    23,168.45x = 31,948.58 × 19,822.34
  4. Step 4: Simplify right side
    23,168.45x = 633,295,356.42
  5. Step 5: Solve for x
    x = 633,295,356.42/23,168.45
  6. Step 6: Final answer
    x = 27,334.39

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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.