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Finding the Fourth Proportional to 65,262.91, 97,846.48 and 20,864.11

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Solution

The fourth proportional to 65,262.91, 97,846.48 and 20,864.11 is: 31,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,262.91 : 97,846.48 = 20,864.11 : x
  2. Step 2: Convert to fraction form
    65,262.91/97,846.48 = 20,864.11/x
  3. Step 3: Cross multiply
    65,262.91x = 97,846.48 × 20,864.11
  4. Step 4: Simplify right side
    65,262.91x = 2,041,479,503.30
  5. Step 5: Solve for x
    x = 2,041,479,503.30/65,262.91
  6. Step 6: Final answer
    x = 31,280.85

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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.