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Finding the Fourth Proportional to 60,854.04, 83,981.82 and 33,997.14

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Solution

The fourth proportional to 60,854.04, 83,981.82 and 33,997.14 is: 46,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,854.04 : 83,981.82 = 33,997.14 : x
  2. Step 2: Convert to fraction form
    60,854.04/83,981.82 = 33,997.14/x
  3. Step 3: Cross multiply
    60,854.04x = 83,981.82 × 33,997.14
  4. Step 4: Simplify right side
    60,854.04x = 2,855,141,691.99
  5. Step 5: Solve for x
    x = 2,855,141,691.99/60,854.04
  6. Step 6: Final answer
    x = 46,917.87

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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.