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Finding the Fourth Proportional to 82,989.93, 114,535.77 and 47,185.29

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Solution

The fourth proportional to 82,989.93, 114,535.77 and 47,185.29 is: 65,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,989.93 : 114,535.77 = 47,185.29 : x
  2. Step 2: Convert to fraction form
    82,989.93/114,535.77 = 47,185.29/x
  3. Step 3: Cross multiply
    82,989.93x = 114,535.77 × 47,185.29
  4. Step 4: Simplify right side
    82,989.93x = 5,404,403,522.82
  5. Step 5: Solve for x
    x = 5,404,403,522.82/82,989.93
  6. Step 6: Final answer
    x = 65,121.20

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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.