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Finding the Fourth Proportional to 39,420.26, 59,099 and 22,761.40

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Solution

The fourth proportional to 39,420.26, 59,099 and 22,761.40 is: 34,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,420.26 : 59,099 = 22,761.40 : x
  2. Step 2: Convert to fraction form
    39,420.26/59,099 = 22,761.40/x
  3. Step 3: Cross multiply
    39,420.26x = 59,099 × 22,761.40
  4. Step 4: Simplify right side
    39,420.26x = 1,345,175,978.60
  5. Step 5: Solve for x
    x = 1,345,175,978.60/39,420.26
  6. Step 6: Final answer
    x = 34,123.98

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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.