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Finding the Fourth Proportional to 32,364, 44,662.32 and 22,433.76

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Solution

The fourth proportional to 32,364, 44,662.32 and 22,433.76 is: 30,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,364 : 44,662.32 = 22,433.76 : x
  2. Step 2: Convert to fraction form
    32,364/44,662.32 = 22,433.76/x
  3. Step 3: Cross multiply
    32,364x = 44,662.32 × 22,433.76
  4. Step 4: Simplify right side
    32,364x = 1,001,943,767.92
  5. Step 5: Solve for x
    x = 1,001,943,767.92/32,364
  6. Step 6: Final answer
    x = 30,958.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.