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Finding the Fourth Proportional to 38,506.20, 53,143.16 and 23,401.32

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Solution

The fourth proportional to 38,506.20, 53,143.16 and 23,401.32 is: 32,296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.20 : 53,143.16 = 23,401.32 : x
  2. Step 2: Convert to fraction form
    38,506.20/53,143.16 = 23,401.32/x
  3. Step 3: Cross multiply
    38,506.20x = 53,143.16 × 23,401.32
  4. Step 4: Simplify right side
    38,506.20x = 1,243,620,092.97
  5. Step 5: Solve for x
    x = 1,243,620,092.97/38,506.20
  6. Step 6: Final answer
    x = 32,296.62

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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.