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Finding the Fourth Proportional to 82,058.06, 113,246.34 and 46,251.44

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Solution

The fourth proportional to 82,058.06, 113,246.34 and 46,251.44 is: 63,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,058.06 : 113,246.34 = 46,251.44 : x
  2. Step 2: Convert to fraction form
    82,058.06/113,246.34 = 46,251.44/x
  3. Step 3: Cross multiply
    82,058.06x = 113,246.34 × 46,251.44
  4. Step 4: Simplify right side
    82,058.06x = 5,237,806,299.73
  5. Step 5: Solve for x
    x = 5,237,806,299.73/82,058.06
  6. Step 6: Final answer
    x = 63,830.49

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