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Finding the Fourth Proportional to 75,406.92, 113,112 and 22,816.32

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Solution

The fourth proportional to 75,406.92, 113,112 and 22,816.32 is: 34,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,406.92 : 113,112 = 22,816.32 : x
  2. Step 2: Convert to fraction form
    75,406.92/113,112 = 22,816.32/x
  3. Step 3: Cross multiply
    75,406.92x = 113,112 × 22,816.32
  4. Step 4: Simplify right side
    75,406.92x = 2,580,799,587.84
  5. Step 5: Solve for x
    x = 2,580,799,587.84/75,406.92
  6. Step 6: Final answer
    x = 34,224.97

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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.