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Finding the Fourth Proportional to 82,967.27, 114,485.13 and 66,014.37

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Solution

The fourth proportional to 82,967.27, 114,485.13 and 66,014.37 is: 91,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,967.27 : 114,485.13 = 66,014.37 : x
  2. Step 2: Convert to fraction form
    82,967.27/114,485.13 = 66,014.37/x
  3. Step 3: Cross multiply
    82,967.27x = 114,485.13 × 66,014.37
  4. Step 4: Simplify right side
    82,967.27x = 7,557,663,731.32
  5. Step 5: Solve for x
    x = 7,557,663,731.32/82,967.27
  6. Step 6: Final answer
    x = 91,092.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.