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Finding the Fourth Proportional to 34,048.75, 51,073.14 and 9,424.75

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Solution

The fourth proportional to 34,048.75, 51,073.14 and 9,424.75 is: 14,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,048.75 : 51,073.14 = 9,424.75 : x
  2. Step 2: Convert to fraction form
    34,048.75/51,073.14 = 9,424.75/x
  3. Step 3: Cross multiply
    34,048.75x = 51,073.14 × 9,424.75
  4. Step 4: Simplify right side
    34,048.75x = 481,351,576.22
  5. Step 5: Solve for x
    x = 481,351,576.22/34,048.75
  6. Step 6: Final answer
    x = 14,137.13

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1.5x scale

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.