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Finding the Fourth Proportional to 50,541.90, 69,761.70 and 29,328

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Solution

The fourth proportional to 50,541.90, 69,761.70 and 29,328 is: 40,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,541.90 : 69,761.70 = 29,328 : x
  2. Step 2: Convert to fraction form
    50,541.90/69,761.70 = 29,328/x
  3. Step 3: Cross multiply
    50,541.90x = 69,761.70 × 29,328
  4. Step 4: Simplify right side
    50,541.90x = 2,045,971,137.60
  5. Step 5: Solve for x
    x = 2,045,971,137.60/50,541.90
  6. Step 6: Final answer
    x = 40,480.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.