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Finding the Fourth Proportional to 29,102.14, 43,715.40 and 20,835.28

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Solution

The fourth proportional to 29,102.14, 43,715.40 and 20,835.28 is: 31,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,102.14 : 43,715.40 = 20,835.28 : x
  2. Step 2: Convert to fraction form
    29,102.14/43,715.40 = 20,835.28/x
  3. Step 3: Cross multiply
    29,102.14x = 43,715.40 × 20,835.28
  4. Step 4: Simplify right side
    29,102.14x = 910,822,329.92
  5. Step 5: Solve for x
    x = 910,822,329.92/29,102.14
  6. Step 6: Final answer
    x = 31,297.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.