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Finding the Fourth Proportional to 65,165.22, 97,747.92 and 20,792.16

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Solution

The fourth proportional to 65,165.22, 97,747.92 and 20,792.16 is: 31,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,165.22 : 97,747.92 = 20,792.16 : x
  2. Step 2: Convert to fraction form
    65,165.22/97,747.92 = 20,792.16/x
  3. Step 3: Cross multiply
    65,165.22x = 97,747.92 × 20,792.16
  4. Step 4: Simplify right side
    65,165.22x = 2,032,390,392.31
  5. Step 5: Solve for x
    x = 2,032,390,392.31/65,165.22
  6. Step 6: Final answer
    x = 31,188.27

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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.