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Finding the Fourth Proportional to 43,154.92, 64,772.70 and 22,393

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Solution

The fourth proportional to 43,154.92, 64,772.70 and 22,393 is: 33,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,154.92 : 64,772.70 = 22,393 : x
  2. Step 2: Convert to fraction form
    43,154.92/64,772.70 = 22,393/x
  3. Step 3: Cross multiply
    43,154.92x = 64,772.70 × 22,393
  4. Step 4: Simplify right side
    43,154.92x = 1,450,455,071.10
  5. Step 5: Solve for x
    x = 1,450,455,071.10/43,154.92
  6. Step 6: Final answer
    x = 33,610.42

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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.