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Finding the Fourth Proportional to 68,259.42, 102,369.06 and 23,877.90

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Solution

The fourth proportional to 68,259.42, 102,369.06 and 23,877.90 is: 35,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,259.42 : 102,369.06 = 23,877.90 : x
  2. Step 2: Convert to fraction form
    68,259.42/102,369.06 = 23,877.90/x
  3. Step 3: Cross multiply
    68,259.42x = 102,369.06 × 23,877.90
  4. Step 4: Simplify right side
    68,259.42x = 2,444,358,177.77
  5. Step 5: Solve for x
    x = 2,444,358,177.77/68,259.42
  6. Step 6: Final answer
    x = 35,809.83

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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.