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Finding the Fourth Proportional to 68,036.83, 102,101.69 and 23,663.14

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Solution

The fourth proportional to 68,036.83, 102,101.69 and 23,663.14 is: 35,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,036.83 : 102,101.69 = 23,663.14 : x
  2. Step 2: Convert to fraction form
    68,036.83/102,101.69 = 23,663.14/x
  3. Step 3: Cross multiply
    68,036.83x = 102,101.69 × 23,663.14
  4. Step 4: Simplify right side
    68,036.83x = 2,416,046,466.39
  5. Step 5: Solve for x
    x = 2,416,046,466.39/68,036.83
  6. Step 6: Final answer
    x = 35,510.86

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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.