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Finding the Fourth Proportional to 53,490.57, 73,819.52 and 32,269.38

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Solution

The fourth proportional to 53,490.57, 73,819.52 and 32,269.38 is: 44,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,490.57 : 73,819.52 = 32,269.38 : x
  2. Step 2: Convert to fraction form
    53,490.57/73,819.52 = 32,269.38/x
  3. Step 3: Cross multiply
    53,490.57x = 73,819.52 × 32,269.38
  4. Step 4: Simplify right side
    53,490.57x = 2,382,110,142.30
  5. Step 5: Solve for x
    x = 2,382,110,142.30/53,490.57
  6. Step 6: Final answer
    x = 44,533.27

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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.