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Finding the Fourth Proportional to 68,532.26, 102,813.50 and 29,123.06

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Solution

The fourth proportional to 68,532.26, 102,813.50 and 29,123.06 is: 43,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,532.26 : 102,813.50 = 29,123.06 : x
  2. Step 2: Convert to fraction form
    68,532.26/102,813.50 = 29,123.06/x
  3. Step 3: Cross multiply
    68,532.26x = 102,813.50 × 29,123.06
  4. Step 4: Simplify right side
    68,532.26x = 2,994,243,729.31
  5. Step 5: Solve for x
    x = 2,994,243,729.31/68,532.26
  6. Step 6: Final answer
    x = 43,691.01

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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.