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Finding the Fourth Proportional to 65,238.24, 97,896.24 and 23,688.48

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Solution

The fourth proportional to 65,238.24, 97,896.24 and 23,688.48 is: 35,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,238.24 : 97,896.24 = 23,688.48 : x
  2. Step 2: Convert to fraction form
    65,238.24/97,896.24 = 23,688.48/x
  3. Step 3: Cross multiply
    65,238.24x = 97,896.24 × 23,688.48
  4. Step 4: Simplify right side
    65,238.24x = 2,319,013,123.32
  5. Step 5: Solve for x
    x = 2,319,013,123.32/65,238.24
  6. Step 6: Final answer
    x = 35,546.84

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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.