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Finding the Fourth Proportional to 83,874.17, 115,745.19 and 45,633.27

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Solution

The fourth proportional to 83,874.17, 115,745.19 and 45,633.27 is: 62,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,874.17 : 115,745.19 = 45,633.27 : x
  2. Step 2: Convert to fraction form
    83,874.17/115,745.19 = 45,633.27/x
  3. Step 3: Cross multiply
    83,874.17x = 115,745.19 × 45,633.27
  4. Step 4: Simplify right side
    83,874.17x = 5,281,831,506.47
  5. Step 5: Solve for x
    x = 5,281,831,506.47/83,874.17
  6. Step 6: Final answer
    x = 62,973.28

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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.