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Finding the Fourth Proportional to 73,767.35, 101,798.79 and 41,502

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Solution

The fourth proportional to 73,767.35, 101,798.79 and 41,502 is: 57,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,767.35 : 101,798.79 = 41,502 : x
  2. Step 2: Convert to fraction form
    73,767.35/101,798.79 = 41,502/x
  3. Step 3: Cross multiply
    73,767.35x = 101,798.79 × 41,502
  4. Step 4: Simplify right side
    73,767.35x = 4,224,853,382.58
  5. Step 5: Solve for x
    x = 4,224,853,382.58/73,767.35
  6. Step 6: Final answer
    x = 57,272.68

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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.