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Finding the Fourth Proportional to 69,409.48, 95,784.63 and 37,578.31

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Solution

The fourth proportional to 69,409.48, 95,784.63 and 37,578.31 is: 51,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,409.48 : 95,784.63 = 37,578.31 : x
  2. Step 2: Convert to fraction form
    69,409.48/95,784.63 = 37,578.31/x
  3. Step 3: Cross multiply
    69,409.48x = 95,784.63 × 37,578.31
  4. Step 4: Simplify right side
    69,409.48x = 3,599,424,519.38
  5. Step 5: Solve for x
    x = 3,599,424,519.38/69,409.48
  6. Step 6: Final answer
    x = 51,857.82

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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.