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Finding the Fourth Proportional to 51,713, 77,550.36 and 18,424.24

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Solution

The fourth proportional to 51,713, 77,550.36 and 18,424.24 is: 27,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,713 : 77,550.36 = 18,424.24 : x
  2. Step 2: Convert to fraction form
    51,713/77,550.36 = 18,424.24/x
  3. Step 3: Cross multiply
    51,713x = 77,550.36 × 18,424.24
  4. Step 4: Simplify right side
    51,713x = 1,428,806,444.73
  5. Step 5: Solve for x
    x = 1,428,806,444.73/51,713
  6. Step 6: Final answer
    x = 27,629.54

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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.