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Finding the Fourth Proportional to 73,332, 101,198.16 and 39,798

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Solution

The fourth proportional to 73,332, 101,198.16 and 39,798 is: 54,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,332 : 101,198.16 = 39,798 : x
  2. Step 2: Convert to fraction form
    73,332/101,198.16 = 39,798/x
  3. Step 3: Cross multiply
    73,332x = 101,198.16 × 39,798
  4. Step 4: Simplify right side
    73,332x = 4,027,484,371.68
  5. Step 5: Solve for x
    x = 4,027,484,371.68/73,332
  6. Step 6: Final answer
    x = 54,921.24

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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.