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Finding the Fourth Proportional to 69,209.64, 95,509.32 and 37,378.54

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Solution

The fourth proportional to 69,209.64, 95,509.32 and 37,378.54 is: 51,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,209.64 : 95,509.32 = 37,378.54 : x
  2. Step 2: Convert to fraction form
    69,209.64/95,509.32 = 37,378.54/x
  3. Step 3: Cross multiply
    69,209.64x = 95,509.32 × 37,378.54
  4. Step 4: Simplify right side
    69,209.64x = 3,569,998,937.99
  5. Step 5: Solve for x
    x = 3,569,998,937.99/69,209.64
  6. Step 6: Final answer
    x = 51,582.39

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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.