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Finding the Fourth Proportional to 65,331.68, 97,997.16 and 23,778.68

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Solution

The fourth proportional to 65,331.68, 97,997.16 and 23,778.68 is: 35,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,331.68 : 97,997.16 = 23,778.68 : x
  2. Step 2: Convert to fraction form
    65,331.68/97,997.16 = 23,778.68/x
  3. Step 3: Cross multiply
    65,331.68x = 97,997.16 × 23,778.68
  4. Step 4: Simplify right side
    65,331.68x = 2,330,243,108.55
  5. Step 5: Solve for x
    x = 2,330,243,108.55/65,331.68
  6. Step 6: Final answer
    x = 35,667.89

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1.5x scale

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.