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Finding the Fourth Proportional to 81,726.91, 112,782.37 and 45,427.41

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Solution

The fourth proportional to 81,726.91, 112,782.37 and 45,427.41 is: 62,689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,726.91 : 112,782.37 = 45,427.41 : x
  2. Step 2: Convert to fraction form
    81,726.91/112,782.37 = 45,427.41/x
  3. Step 3: Cross multiply
    81,726.91x = 112,782.37 × 45,427.41
  4. Step 4: Simplify right side
    81,726.91x = 5,123,410,171.71
  5. Step 5: Solve for x
    x = 5,123,410,171.71/81,726.91
  6. Step 6: Final answer
    x = 62,689.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.