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Finding the Fourth Proportional to 65,218.24, 97,866.24 and 23,659.84

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Solution

The fourth proportional to 65,218.24, 97,866.24 and 23,659.84 is: 35,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,218.24 : 97,866.24 = 23,659.84 : x
  2. Step 2: Convert to fraction form
    65,218.24/97,866.24 = 23,659.84/x
  3. Step 3: Cross multiply
    65,218.24x = 97,866.24 × 23,659.84
  4. Step 4: Simplify right side
    65,218.24x = 2,315,499,579.80
  5. Step 5: Solve for x
    x = 2,315,499,579.80/65,218.24
  6. Step 6: Final answer
    x = 35,503.86

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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.