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Finding the Fourth Proportional to 82,292.86, 113,566.35 and 50,443.46

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Solution

The fourth proportional to 82,292.86, 113,566.35 and 50,443.46 is: 69,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,292.86 : 113,566.35 = 50,443.46 : x
  2. Step 2: Convert to fraction form
    82,292.86/113,566.35 = 50,443.46/x
  3. Step 3: Cross multiply
    82,292.86x = 113,566.35 × 50,443.46
  4. Step 4: Simplify right side
    82,292.86x = 5,728,679,680.78
  5. Step 5: Solve for x
    x = 5,728,679,680.78/82,292.86
  6. Step 6: Final answer
    x = 69,613.32

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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.