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Finding the Fourth Proportional to 35,743.38, 49,324.05 and 19,827.50

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Solution

The fourth proportional to 35,743.38, 49,324.05 and 19,827.50 is: 27,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,743.38 : 49,324.05 = 19,827.50 : x
  2. Step 2: Convert to fraction form
    35,743.38/49,324.05 = 19,827.50/x
  3. Step 3: Cross multiply
    35,743.38x = 49,324.05 × 19,827.50
  4. Step 4: Simplify right side
    35,743.38x = 977,972,354.75
  5. Step 5: Solve for x
    x = 977,972,354.75/35,743.38
  6. Step 6: Final answer
    x = 27,360.94

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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.