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Finding the Fourth Proportional to 65,108.56, 97,667.70 and 27,664.40

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Solution

The fourth proportional to 65,108.56, 97,667.70 and 27,664.40 is: 41,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,108.56 : 97,667.70 = 27,664.40 : x
  2. Step 2: Convert to fraction form
    65,108.56/97,667.70 = 27,664.40/x
  3. Step 3: Cross multiply
    65,108.56x = 97,667.70 × 27,664.40
  4. Step 4: Simplify right side
    65,108.56x = 2,701,918,319.88
  5. Step 5: Solve for x
    x = 2,701,918,319.88/65,108.56
  6. Step 6: Final answer
    x = 41,498.66

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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.