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Finding the Fourth Proportional to 77,974.32, 116,973 and 22,563.12

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Solution

The fourth proportional to 77,974.32, 116,973 and 22,563.12 is: 33,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,974.32 : 116,973 = 22,563.12 : x
  2. Step 2: Convert to fraction form
    77,974.32/116,973 = 22,563.12/x
  3. Step 3: Cross multiply
    77,974.32x = 116,973 × 22,563.12
  4. Step 4: Simplify right side
    77,974.32x = 2,639,275,835.76
  5. Step 5: Solve for x
    x = 2,639,275,835.76/77,974.32
  6. Step 6: Final answer
    x = 33,848.01

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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.