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Finding the Fourth Proportional to 38,076.31, 56,841.92 and 33,095.41

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Solution

The fourth proportional to 38,076.31, 56,841.92 and 33,095.41 is: 49,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076.31 : 56,841.92 = 33,095.41 : x
  2. Step 2: Convert to fraction form
    38,076.31/56,841.92 = 33,095.41/x
  3. Step 3: Cross multiply
    38,076.31x = 56,841.92 × 33,095.41
  4. Step 4: Simplify right side
    38,076.31x = 1,881,206,647.59
  5. Step 5: Solve for x
    x = 1,881,206,647.59/38,076.31
  6. Step 6: Final answer
    x = 49,406.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.