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Finding the Fourth Proportional to 34,757.04, 52,138.64 and 9,797.31

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Solution

The fourth proportional to 34,757.04, 52,138.64 and 9,797.31 is: 14,696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,757.04 : 52,138.64 = 9,797.31 : x
  2. Step 2: Convert to fraction form
    34,757.04/52,138.64 = 9,797.31/x
  3. Step 3: Cross multiply
    34,757.04x = 52,138.64 × 9,797.31
  4. Step 4: Simplify right side
    34,757.04x = 510,818,370.07
  5. Step 5: Solve for x
    x = 510,818,370.07/34,757.04
  6. Step 6: Final answer
    x = 14,696.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.