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Finding the Fourth Proportional to 81,927.56, 113,058.78 and 46,117.46

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Solution

The fourth proportional to 81,927.56, 113,058.78 and 46,117.46 is: 63,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,927.56 : 113,058.78 = 46,117.46 : x
  2. Step 2: Convert to fraction form
    81,927.56/113,058.78 = 46,117.46/x
  3. Step 3: Cross multiply
    81,927.56x = 113,058.78 × 46,117.46
  4. Step 4: Simplify right side
    81,927.56x = 5,213,983,764.30
  5. Step 5: Solve for x
    x = 5,213,983,764.30/81,927.56
  6. Step 6: Final answer
    x = 63,641.39

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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.