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Finding the Fourth Proportional to 57,706.40, 86,598.26 and 20,266.61

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Solution

The fourth proportional to 57,706.40, 86,598.26 and 20,266.61 is: 30,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,706.40 : 86,598.26 = 20,266.61 : x
  2. Step 2: Convert to fraction form
    57,706.40/86,598.26 = 20,266.61/x
  3. Step 3: Cross multiply
    57,706.40x = 86,598.26 × 20,266.61
  4. Step 4: Simplify right side
    57,706.40x = 1,755,053,429.26
  5. Step 5: Solve for x
    x = 1,755,053,429.26/57,706.40
  6. Step 6: Final answer
    x = 30,413.50

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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.