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Finding the Fourth Proportional to 65,713.30, 92,231.90 and 65,713.30

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Solution

The fourth proportional to 65,713.30, 92,231.90 and 65,713.30 is: 92,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.30 : 92,231.90 = 65,713.30 : x
  2. Step 2: Convert to fraction form
    65,713.30/92,231.90 = 65,713.30/x
  3. Step 3: Cross multiply
    65,713.30x = 92,231.90 × 65,713.30
  4. Step 4: Simplify right side
    65,713.30x = 6,060,862,514.27
  5. Step 5: Solve for x
    x = 6,060,862,514.27/65,713.30
  6. Step 6: Final answer
    x = 92,231.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.