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Finding the Fourth Proportional to 65,222.24, 97,872.24 and 23,663.84

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Solution

The fourth proportional to 65,222.24, 97,872.24 and 23,663.84 is: 35,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222.24 : 97,872.24 = 23,663.84 : x
  2. Step 2: Convert to fraction form
    65,222.24/97,872.24 = 23,663.84/x
  3. Step 3: Cross multiply
    65,222.24x = 97,872.24 × 23,663.84
  4. Step 4: Simplify right side
    65,222.24x = 2,316,033,027.80
  5. Step 5: Solve for x
    x = 2,316,033,027.80/65,222.24
  6. Step 6: Final answer
    x = 35,509.87

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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.