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Finding the Fourth Proportional to 75,892.16, 113,821.94 and 22,571.30

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Solution

The fourth proportional to 75,892.16, 113,821.94 and 22,571.30 is: 33,852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,892.16 : 113,821.94 = 22,571.30 : x
  2. Step 2: Convert to fraction form
    75,892.16/113,821.94 = 22,571.30/x
  3. Step 3: Cross multiply
    75,892.16x = 113,821.94 × 22,571.30
  4. Step 4: Simplify right side
    75,892.16x = 2,569,109,154.32
  5. Step 5: Solve for x
    x = 2,569,109,154.32/75,892.16
  6. Step 6: Final answer
    x = 33,852.10

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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.