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Finding the Fourth Proportional to 64,023.92, 96,048.88 and 22,474.16

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Solution

The fourth proportional to 64,023.92, 96,048.88 and 22,474.16 is: 33,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,023.92 : 96,048.88 = 22,474.16 : x
  2. Step 2: Convert to fraction form
    64,023.92/96,048.88 = 22,474.16/x
  3. Step 3: Cross multiply
    64,023.92x = 96,048.88 × 22,474.16
  4. Step 4: Simplify right side
    64,023.92x = 2,158,617,896.94
  5. Step 5: Solve for x
    x = 2,158,617,896.94/64,023.92
  6. Step 6: Final answer
    x = 33,715.80

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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.