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Finding the Fourth Proportional to 82,222.85, 113,468.09 and 48,251.45

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Solution

The fourth proportional to 82,222.85, 113,468.09 and 48,251.45 is: 66,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,222.85 : 113,468.09 = 48,251.45 : x
  2. Step 2: Convert to fraction form
    82,222.85/113,468.09 = 48,251.45/x
  3. Step 3: Cross multiply
    82,222.85x = 113,468.09 × 48,251.45
  4. Step 4: Simplify right side
    82,222.85x = 5,474,999,062.63
  5. Step 5: Solve for x
    x = 5,474,999,062.63/82,222.85
  6. Step 6: Final answer
    x = 66,587.32

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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.