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Finding the Fourth Proportional to 83,409.66, 115,113.60 and 47,605.09

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Solution

The fourth proportional to 83,409.66, 115,113.60 and 47,605.09 is: 65,699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,409.66 : 115,113.60 = 47,605.09 : x
  2. Step 2: Convert to fraction form
    83,409.66/115,113.60 = 47,605.09/x
  3. Step 3: Cross multiply
    83,409.66x = 115,113.60 × 47,605.09
  4. Step 4: Simplify right side
    83,409.66x = 5,479,993,288.22
  5. Step 5: Solve for x
    x = 5,479,993,288.22/83,409.66
  6. Step 6: Final answer
    x = 65,699.74

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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.