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Finding the Fourth Proportional to 34,770.50, 52,111.04 and 15,781.26

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Solution

The fourth proportional to 34,770.50, 52,111.04 and 15,781.26 is: 23,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,770.50 : 52,111.04 = 15,781.26 : x
  2. Step 2: Convert to fraction form
    34,770.50/52,111.04 = 15,781.26/x
  3. Step 3: Cross multiply
    34,770.50x = 52,111.04 × 15,781.26
  4. Step 4: Simplify right side
    34,770.50x = 822,377,792.20
  5. Step 5: Solve for x
    x = 822,377,792.20/34,770.50
  6. Step 6: Final answer
    x = 23,651.60

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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.