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Finding the Fourth Proportional to 34,078.46, 51,114.74 and 20,748

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Solution

The fourth proportional to 34,078.46, 51,114.74 and 20,748 is: 31,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,078.46 : 51,114.74 = 20,748 : x
  2. Step 2: Convert to fraction form
    34,078.46/51,114.74 = 20,748/x
  3. Step 3: Cross multiply
    34,078.46x = 51,114.74 × 20,748
  4. Step 4: Simplify right side
    34,078.46x = 1,060,528,625.52
  5. Step 5: Solve for x
    x = 1,060,528,625.52/34,078.46
  6. Step 6: Final answer
    x = 31,120.20

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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.