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Finding the Fourth Proportional to 65,209.96, 97,814.89 and 18,462.84

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Solution

The fourth proportional to 65,209.96, 97,814.89 and 18,462.84 is: 27,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.96 : 97,814.89 = 18,462.84 : x
  2. Step 2: Convert to fraction form
    65,209.96/97,814.89 = 18,462.84/x
  3. Step 3: Cross multiply
    65,209.96x = 97,814.89 × 18,462.84
  4. Step 4: Simplify right side
    65,209.96x = 1,805,940,663.69
  5. Step 5: Solve for x
    x = 1,805,940,663.69/65,209.96
  6. Step 6: Final answer
    x = 27,694.25

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1.5x scale

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.