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Finding the Fourth Proportional to 81,875.34, 122,813.00 and 22,711.01

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Solution

The fourth proportional to 81,875.34, 122,813.00 and 22,711.01 is: 34,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,875.34 : 122,813.00 = 22,711.01 : x
  2. Step 2: Convert to fraction form
    81,875.34/122,813.00 = 22,711.01/x
  3. Step 3: Cross multiply
    81,875.34x = 122,813.00 × 22,711.01
  4. Step 4: Simplify right side
    81,875.34x = 2,789,206,850.54
  5. Step 5: Solve for x
    x = 2,789,206,850.54/81,875.34
  6. Step 6: Final answer
    x = 34,066.51

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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.