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Finding the Fourth Proportional to 83,296, 124,944.12 and 34,048

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Solution

The fourth proportional to 83,296, 124,944.12 and 34,048 is: 51,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,296 : 124,944.12 = 34,048 : x
  2. Step 2: Convert to fraction form
    83,296/124,944.12 = 34,048/x
  3. Step 3: Cross multiply
    83,296x = 124,944.12 × 34,048
  4. Step 4: Simplify right side
    83,296x = 4,254,097,397.76
  5. Step 5: Solve for x
    x = 4,254,097,397.76/83,296
  6. Step 6: Final answer
    x = 51,072.05

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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.