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Finding the Fourth Proportional to 56,491.78, 84,738.24 and 17,049.22

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Solution

The fourth proportional to 56,491.78, 84,738.24 and 17,049.22 is: 25,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,491.78 : 84,738.24 = 17,049.22 : x
  2. Step 2: Convert to fraction form
    56,491.78/84,738.24 = 17,049.22/x
  3. Step 3: Cross multiply
    56,491.78x = 84,738.24 × 17,049.22
  4. Step 4: Simplify right side
    56,491.78x = 1,444,720,896.17
  5. Step 5: Solve for x
    x = 1,444,720,896.17/56,491.78
  6. Step 6: Final answer
    x = 25,574.00

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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.