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Finding the Fourth Proportional to 86,105.83, 129,164.22 and 22,924.93

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Solution

The fourth proportional to 86,105.83, 129,164.22 and 22,924.93 is: 34,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,105.83 : 129,164.22 = 22,924.93 : x
  2. Step 2: Convert to fraction form
    86,105.83/129,164.22 = 22,924.93/x
  3. Step 3: Cross multiply
    86,105.83x = 129,164.22 × 22,924.93
  4. Step 4: Simplify right side
    86,105.83x = 2,961,080,702.00
  5. Step 5: Solve for x
    x = 2,961,080,702.00/86,105.83
  6. Step 6: Final answer
    x = 34,388.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.