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Finding the Fourth Proportional to 84,083.50, 116,035.47 and 45,843.46

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Solution

The fourth proportional to 84,083.50, 116,035.47 and 45,843.46 is: 63,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,083.50 : 116,035.47 = 45,843.46 : x
  2. Step 2: Convert to fraction form
    84,083.50/116,035.47 = 45,843.46/x
  3. Step 3: Cross multiply
    84,083.50x = 116,035.47 × 45,843.46
  4. Step 4: Simplify right side
    84,083.50x = 5,319,467,427.53
  5. Step 5: Solve for x
    x = 5,319,467,427.53/84,083.50
  6. Step 6: Final answer
    x = 63,264.11

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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.