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Finding the Fourth Proportional to 53,195.78, 73,409.79 and 29,322.41

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Solution

The fourth proportional to 53,195.78, 73,409.79 and 29,322.41 is: 40,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,195.78 : 73,409.79 = 29,322.41 : x
  2. Step 2: Convert to fraction form
    53,195.78/73,409.79 = 29,322.41/x
  3. Step 3: Cross multiply
    53,195.78x = 73,409.79 × 29,322.41
  4. Step 4: Simplify right side
    53,195.78x = 2,152,551,813.65
  5. Step 5: Solve for x
    x = 2,152,551,813.65/53,195.78
  6. Step 6: Final answer
    x = 40,464.71

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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.