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Finding the Fourth Proportional to 65,233.08, 97,855.76 and 20,849.28

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Solution

The fourth proportional to 65,233.08, 97,855.76 and 20,849.28 is: 31,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.08 : 97,855.76 = 20,849.28 : x
  2. Step 2: Convert to fraction form
    65,233.08/97,855.76 = 20,849.28/x
  3. Step 3: Cross multiply
    65,233.08x = 97,855.76 × 20,849.28
  4. Step 4: Simplify right side
    65,233.08x = 2,040,222,139.85
  5. Step 5: Solve for x
    x = 2,040,222,139.85/65,233.08
  6. Step 6: Final answer
    x = 31,275.88

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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.