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Finding the Fourth Proportional to 34,751.54, 52,130.38 and 9,791.80

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Solution

The fourth proportional to 34,751.54, 52,130.38 and 9,791.80 is: 14,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,751.54 : 52,130.38 = 9,791.80 : x
  2. Step 2: Convert to fraction form
    34,751.54/52,130.38 = 9,791.80/x
  3. Step 3: Cross multiply
    34,751.54x = 52,130.38 × 9,791.80
  4. Step 4: Simplify right side
    34,751.54x = 510,450,205.93
  5. Step 5: Solve for x
    x = 510,450,205.93/34,751.54
  6. Step 6: Final answer
    x = 14,688.56

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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.