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Finding the Fourth Proportional to 68,266.34, 102,419.67 and 35,009.70

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Solution

The fourth proportional to 68,266.34, 102,419.67 and 35,009.70 is: 52,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,266.34 : 102,419.67 = 35,009.70 : x
  2. Step 2: Convert to fraction form
    68,266.34/102,419.67 = 35,009.70/x
  3. Step 3: Cross multiply
    68,266.34x = 102,419.67 × 35,009.70
  4. Step 4: Simplify right side
    68,266.34x = 3,585,681,516.64
  5. Step 5: Solve for x
    x = 3,585,681,516.64/68,266.34
  6. Step 6: Final answer
    x = 52,524.89

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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.