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Finding the Fourth Proportional to 35,998.38, 49,678.72 and 20,085.92

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Solution

The fourth proportional to 35,998.38, 49,678.72 and 20,085.92 is: 27,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,998.38 : 49,678.72 = 20,085.92 : x
  2. Step 2: Convert to fraction form
    35,998.38/49,678.72 = 20,085.92/x
  3. Step 3: Cross multiply
    35,998.38x = 49,678.72 × 20,085.92
  4. Step 4: Simplify right side
    35,998.38x = 997,842,795.62
  5. Step 5: Solve for x
    x = 997,842,795.62/35,998.38
  6. Step 6: Final answer
    x = 27,719.10

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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.