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Finding the Fourth Proportional to 64,506.25, 96,724.50 and 22,383.28

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Solution

The fourth proportional to 64,506.25, 96,724.50 and 22,383.28 is: 33,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,506.25 : 96,724.50 = 22,383.28 : x
  2. Step 2: Convert to fraction form
    64,506.25/96,724.50 = 22,383.28/x
  3. Step 3: Cross multiply
    64,506.25x = 96,724.50 × 22,383.28
  4. Step 4: Simplify right side
    64,506.25x = 2,165,011,566.36
  5. Step 5: Solve for x
    x = 2,165,011,566.36/64,506.25
  6. Step 6: Final answer
    x = 33,562.82

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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.