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Finding the Fourth Proportional to 35,429.78, 48,889.48 and 21,815.66

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Solution

The fourth proportional to 35,429.78, 48,889.48 and 21,815.66 is: 30,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,429.78 : 48,889.48 = 21,815.66 : x
  2. Step 2: Convert to fraction form
    35,429.78/48,889.48 = 21,815.66/x
  3. Step 3: Cross multiply
    35,429.78x = 48,889.48 × 21,815.66
  4. Step 4: Simplify right side
    35,429.78x = 1,066,556,273.26
  5. Step 5: Solve for x
    x = 1,066,556,273.26/35,429.78
  6. Step 6: Final answer
    x = 30,103.38

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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.