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Finding the Fourth Proportional to 83,826.96, 115,678.90 and 46,101.22

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Solution

The fourth proportional to 83,826.96, 115,678.90 and 46,101.22 is: 63,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,826.96 : 115,678.90 = 46,101.22 : x
  2. Step 2: Convert to fraction form
    83,826.96/115,678.90 = 46,101.22/x
  3. Step 3: Cross multiply
    83,826.96x = 115,678.90 × 46,101.22
  4. Step 4: Simplify right side
    83,826.96x = 5,332,938,418.26
  5. Step 5: Solve for x
    x = 5,332,938,418.26/83,826.96
  6. Step 6: Final answer
    x = 63,618.42

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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.