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Finding the Fourth Proportional to 32,409.96, 44,722.62 and 23,916.78

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Solution

The fourth proportional to 32,409.96, 44,722.62 and 23,916.78 is: 33,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.96 : 44,722.62 = 23,916.78 : x
  2. Step 2: Convert to fraction form
    32,409.96/44,722.62 = 23,916.78/x
  3. Step 3: Cross multiply
    32,409.96x = 44,722.62 × 23,916.78
  4. Step 4: Simplify right side
    32,409.96x = 1,069,621,063.56
  5. Step 5: Solve for x
    x = 1,069,621,063.56/32,409.96
  6. Step 6: Final answer
    x = 33,002.85

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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.