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Finding the Fourth Proportional to 29,902.50, 41,263.02 and 17,159.58

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Solution

The fourth proportional to 29,902.50, 41,263.02 and 17,159.58 is: 23,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902.50 : 41,263.02 = 17,159.58 : x
  2. Step 2: Convert to fraction form
    29,902.50/41,263.02 = 17,159.58/x
  3. Step 3: Cross multiply
    29,902.50x = 41,263.02 × 17,159.58
  4. Step 4: Simplify right side
    29,902.50x = 708,056,092.73
  5. Step 5: Solve for x
    x = 708,056,092.73/29,902.50
  6. Step 6: Final answer
    x = 23,678.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.