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Finding the Fourth Proportional to 35,789.92, 49,386.48 and 20,894.56

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Solution

The fourth proportional to 35,789.92, 49,386.48 and 20,894.56 is: 28,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,789.92 : 49,386.48 = 20,894.56 : x
  2. Step 2: Convert to fraction form
    35,789.92/49,386.48 = 20,894.56/x
  3. Step 3: Cross multiply
    35,789.92x = 49,386.48 × 20,894.56
  4. Step 4: Simplify right side
    35,789.92x = 1,031,908,769.55
  5. Step 5: Solve for x
    x = 1,031,908,769.55/35,789.92
  6. Step 6: Final answer
    x = 28,832.39

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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.