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Finding the Fourth Proportional to 34,938.49, 52,429.22 and 13,874.84

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Solution

The fourth proportional to 34,938.49, 52,429.22 and 13,874.84 is: 20,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,938.49 : 52,429.22 = 13,874.84 : x
  2. Step 2: Convert to fraction form
    34,938.49/52,429.22 = 13,874.84/x
  3. Step 3: Cross multiply
    34,938.49x = 52,429.22 × 13,874.84
  4. Step 4: Simplify right side
    34,938.49x = 727,447,328.91
  5. Step 5: Solve for x
    x = 727,447,328.91/34,938.49
  6. Step 6: Final answer
    x = 20,820.80

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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.