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Finding the Fourth Proportional to 82,203.95, 113,441.98 and 48,205.52

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Solution

The fourth proportional to 82,203.95, 113,441.98 and 48,205.52 is: 66,523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,203.95 : 113,441.98 = 48,205.52 : x
  2. Step 2: Convert to fraction form
    82,203.95/113,441.98 = 48,205.52/x
  3. Step 3: Cross multiply
    82,203.95x = 113,441.98 × 48,205.52
  4. Step 4: Simplify right side
    82,203.95x = 5,468,529,635.73
  5. Step 5: Solve for x
    x = 5,468,529,635.73/82,203.95
  6. Step 6: Final answer
    x = 66,523.93

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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.