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Finding the Fourth Proportional to 29,902.50, 44,740.89 and 17,850

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Solution

The fourth proportional to 29,902.50, 44,740.89 and 17,850 is: 26,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902.50 : 44,740.89 = 17,850 : x
  2. Step 2: Convert to fraction form
    29,902.50/44,740.89 = 17,850/x
  3. Step 3: Cross multiply
    29,902.50x = 44,740.89 × 17,850
  4. Step 4: Simplify right side
    29,902.50x = 798,624,886.50
  5. Step 5: Solve for x
    x = 798,624,886.50/29,902.50
  6. Step 6: Final answer
    x = 26,707.63

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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.