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Finding the Fourth Proportional to 84,199.68, 116,203.32 and 58,743

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Solution

The fourth proportional to 84,199.68, 116,203.32 and 58,743 is: 81,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,199.68 : 116,203.32 = 58,743 : x
  2. Step 2: Convert to fraction form
    84,199.68/116,203.32 = 58,743/x
  3. Step 3: Cross multiply
    84,199.68x = 116,203.32 × 58,743
  4. Step 4: Simplify right side
    84,199.68x = 6,826,131,626.76
  5. Step 5: Solve for x
    x = 6,826,131,626.76/84,199.68
  6. Step 6: Final answer
    x = 81,070.75

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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.