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Finding the Fourth Proportional to 32,157.70, 44,379.98 and 19,414.02

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Solution

The fourth proportional to 32,157.70, 44,379.98 and 19,414.02 is: 26,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.70 : 44,379.98 = 19,414.02 : x
  2. Step 2: Convert to fraction form
    32,157.70/44,379.98 = 19,414.02/x
  3. Step 3: Cross multiply
    32,157.70x = 44,379.98 × 19,414.02
  4. Step 4: Simplify right side
    32,157.70x = 861,593,819.32
  5. Step 5: Solve for x
    x = 861,593,819.32/32,157.70
  6. Step 6: Final answer
    x = 26,792.77

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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.