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Finding the Fourth Proportional to 42,833.34, 59,095.71 and 27,745.20

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Solution

The fourth proportional to 42,833.34, 59,095.71 and 27,745.20 is: 38,279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,833.34 : 59,095.71 = 27,745.20 : x
  2. Step 2: Convert to fraction form
    42,833.34/59,095.71 = 27,745.20/x
  3. Step 3: Cross multiply
    42,833.34x = 59,095.71 × 27,745.20
  4. Step 4: Simplify right side
    42,833.34x = 1,639,622,293.09
  5. Step 5: Solve for x
    x = 1,639,622,293.09/42,833.34
  6. Step 6: Final answer
    x = 38,279.11

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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.