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Finding the Fourth Proportional to 65,157.78, 97,753.53 and 18,410.66

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Solution

The fourth proportional to 65,157.78, 97,753.53 and 18,410.66 is: 27,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,157.78 : 97,753.53 = 18,410.66 : x
  2. Step 2: Convert to fraction form
    65,157.78/97,753.53 = 18,410.66/x
  3. Step 3: Cross multiply
    65,157.78x = 97,753.53 × 18,410.66
  4. Step 4: Simplify right side
    65,157.78x = 1,799,706,951.48
  5. Step 5: Solve for x
    x = 1,799,706,951.48/65,157.78
  6. Step 6: Final answer
    x = 27,620.75

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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.