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Finding the Fourth Proportional to 65,186.91, 97,797.51 and 20,814.57

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Solution

The fourth proportional to 65,186.91, 97,797.51 and 20,814.57 is: 31,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,186.91 : 97,797.51 = 20,814.57 : x
  2. Step 2: Convert to fraction form
    65,186.91/97,797.51 = 20,814.57/x
  3. Step 3: Cross multiply
    65,186.91x = 97,797.51 × 20,814.57
  4. Step 4: Simplify right side
    65,186.91x = 2,035,613,117.72
  5. Step 5: Solve for x
    x = 2,035,613,117.72/65,186.91
  6. Step 6: Final answer
    x = 31,227.33

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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.