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Finding the Fourth Proportional to 83,634.80, 115,416.11 and 45,394.34

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Solution

The fourth proportional to 83,634.80, 115,416.11 and 45,394.34 is: 62,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,634.80 : 115,416.11 = 45,394.34 : x
  2. Step 2: Convert to fraction form
    83,634.80/115,416.11 = 45,394.34/x
  3. Step 3: Cross multiply
    83,634.80x = 115,416.11 × 45,394.34
  4. Step 4: Simplify right side
    83,634.80x = 5,239,238,069.10
  5. Step 5: Solve for x
    x = 5,239,238,069.10/83,634.80
  6. Step 6: Final answer
    x = 62,644.24

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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.