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Finding the Fourth Proportional to 65,266.32, 97,687.67 and 35,238.81

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Solution

The fourth proportional to 65,266.32, 97,687.67 and 35,238.81 is: 52,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,266.32 : 97,687.67 = 35,238.81 : x
  2. Step 2: Convert to fraction form
    65,266.32/97,687.67 = 35,238.81/x
  3. Step 3: Cross multiply
    65,266.32x = 97,687.67 × 35,238.81
  4. Step 4: Simplify right side
    65,266.32x = 3,442,397,066.28
  5. Step 5: Solve for x
    x = 3,442,397,066.28/65,266.32
  6. Step 6: Final answer
    x = 52,743.85

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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.