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Finding the Fourth Proportional to 81,537.38, 112,521.78 and 47,569.22

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Solution

The fourth proportional to 81,537.38, 112,521.78 and 47,569.22 is: 65,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,537.38 : 112,521.78 = 47,569.22 : x
  2. Step 2: Convert to fraction form
    81,537.38/112,521.78 = 47,569.22/x
  3. Step 3: Cross multiply
    81,537.38x = 112,521.78 × 47,569.22
  4. Step 4: Simplify right side
    81,537.38x = 5,352,572,745.00
  5. Step 5: Solve for x
    x = 5,352,572,745.00/81,537.38
  6. Step 6: Final answer
    x = 65,645.63

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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.