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Finding the Fourth Proportional to 65,201.56, 97,814.88 and 27,760.92

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Solution

The fourth proportional to 65,201.56, 97,814.88 and 27,760.92 is: 41,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.56 : 97,814.88 = 27,760.92 : x
  2. Step 2: Convert to fraction form
    65,201.56/97,814.88 = 27,760.92/x
  3. Step 3: Cross multiply
    65,201.56x = 97,814.88 × 27,760.92
  4. Step 4: Simplify right side
    65,201.56x = 2,715,431,058.49
  5. Step 5: Solve for x
    x = 2,715,431,058.49/65,201.56
  6. Step 6: Final answer
    x = 41,646.72

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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.