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Finding the Fourth Proportional to 68,548, 102,837.12 and 29,138.80

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Solution

The fourth proportional to 68,548, 102,837.12 and 29,138.80 is: 43,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,548 : 102,837.12 = 29,138.80 : x
  2. Step 2: Convert to fraction form
    68,548/102,837.12 = 29,138.80/x
  3. Step 3: Cross multiply
    68,548x = 102,837.12 × 29,138.80
  4. Step 4: Simplify right side
    68,548x = 2,996,550,272.26
  5. Step 5: Solve for x
    x = 2,996,550,272.26/68,548
  6. Step 6: Final answer
    x = 43,714.63

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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.