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Finding the Fourth Proportional to 29,102.44, 43,654.06 and 8,325.94

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Solution

The fourth proportional to 29,102.44, 43,654.06 and 8,325.94 is: 12,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,102.44 : 43,654.06 = 8,325.94 : x
  2. Step 2: Convert to fraction form
    29,102.44/43,654.06 = 8,325.94/x
  3. Step 3: Cross multiply
    29,102.44x = 43,654.06 × 8,325.94
  4. Step 4: Simplify right side
    29,102.44x = 363,461,084.32
  5. Step 5: Solve for x
    x = 363,461,084.32/29,102.44
  6. Step 6: Final answer
    x = 12,489.02

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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.