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Finding the Fourth Proportional to 34,751.64, 52,127.40 and 9,791.64

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Solution

The fourth proportional to 34,751.64, 52,127.40 and 9,791.64 is: 14,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,751.64 : 52,127.40 = 9,791.64 : x
  2. Step 2: Convert to fraction form
    34,751.64/52,127.40 = 9,791.64/x
  3. Step 3: Cross multiply
    34,751.64x = 52,127.40 × 9,791.64
  4. Step 4: Simplify right side
    34,751.64x = 510,412,734.94
  5. Step 5: Solve for x
    x = 510,412,734.94/34,751.64
  6. Step 6: Final answer
    x = 14,687.44

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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.