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Finding the Fourth Proportional to 83,427.96, 115,107.66 and 47,605.08

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Solution

The fourth proportional to 83,427.96, 115,107.66 and 47,605.08 is: 65,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,427.96 : 115,107.66 = 47,605.08 : x
  2. Step 2: Convert to fraction form
    83,427.96/115,107.66 = 47,605.08/x
  3. Step 3: Cross multiply
    83,427.96x = 115,107.66 × 47,605.08
  4. Step 4: Simplify right side
    83,427.96x = 5,479,709,362.91
  5. Step 5: Solve for x
    x = 5,479,709,362.91/83,427.96
  6. Step 6: Final answer
    x = 65,681.93

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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.