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Finding the Fourth Proportional to 39,132, 54,002.16 and 22,365.36

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Solution

The fourth proportional to 39,132, 54,002.16 and 22,365.36 is: 30,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,132 : 54,002.16 = 22,365.36 : x
  2. Step 2: Convert to fraction form
    39,132/54,002.16 = 22,365.36/x
  3. Step 3: Cross multiply
    39,132x = 54,002.16 × 22,365.36
  4. Step 4: Simplify right side
    39,132x = 1,207,777,749.18
  5. Step 5: Solve for x
    x = 1,207,777,749.18/39,132
  6. Step 6: Final answer
    x = 30,864.20

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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.