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Finding the Fourth Proportional to 68,148.59, 102,239.91 and 23,775.98

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Solution

The fourth proportional to 68,148.59, 102,239.91 and 23,775.98 is: 35,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,148.59 : 102,239.91 = 23,775.98 : x
  2. Step 2: Convert to fraction form
    68,148.59/102,239.91 = 23,775.98/x
  3. Step 3: Cross multiply
    68,148.59x = 102,239.91 × 23,775.98
  4. Step 4: Simplify right side
    68,148.59x = 2,430,853,544.16
  5. Step 5: Solve for x
    x = 2,430,853,544.16/68,148.59
  6. Step 6: Final answer
    x = 35,669.90

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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.