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Finding the Fourth Proportional to 65,337.12, 97,992 and 18,577.44

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Solution

The fourth proportional to 65,337.12, 97,992 and 18,577.44 is: 27,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,337.12 : 97,992 = 18,577.44 : x
  2. Step 2: Convert to fraction form
    65,337.12/97,992 = 18,577.44/x
  3. Step 3: Cross multiply
    65,337.12x = 97,992 × 18,577.44
  4. Step 4: Simplify right side
    65,337.12x = 1,820,440,500.48
  5. Step 5: Solve for x
    x = 1,820,440,500.48/65,337.12
  6. Step 6: Final answer
    x = 27,862.27

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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.