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Finding the Fourth Proportional to 29,902, 44,740.14 and 17,849.50

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Solution

The fourth proportional to 29,902, 44,740.14 and 17,849.50 is: 26,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902 : 44,740.14 = 17,849.50 : x
  2. Step 2: Convert to fraction form
    29,902/44,740.14 = 17,849.50/x
  3. Step 3: Cross multiply
    29,902x = 44,740.14 × 17,849.50
  4. Step 4: Simplify right side
    29,902x = 798,589,128.93
  5. Step 5: Solve for x
    x = 798,589,128.93/29,902
  6. Step 6: Final answer
    x = 26,706.88

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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.