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Finding the Fourth Proportional to 39,917.84, 55,082.39 and 22,011.77

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Solution

The fourth proportional to 39,917.84, 55,082.39 and 22,011.77 is: 30,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,917.84 : 55,082.39 = 22,011.77 : x
  2. Step 2: Convert to fraction form
    39,917.84/55,082.39 = 22,011.77/x
  3. Step 3: Cross multiply
    39,917.84x = 55,082.39 × 22,011.77
  4. Step 4: Simplify right side
    39,917.84x = 1,212,460,927.38
  5. Step 5: Solve for x
    x = 1,212,460,927.38/39,917.84
  6. Step 6: Final answer
    x = 30,373.92

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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.