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Finding the Fourth Proportional to 82,383.98, 113,689.04 and 46,084.95

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Solution

The fourth proportional to 82,383.98, 113,689.04 and 46,084.95 is: 63,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,383.98 : 113,689.04 = 46,084.95 : x
  2. Step 2: Convert to fraction form
    82,383.98/113,689.04 = 46,084.95/x
  3. Step 3: Cross multiply
    82,383.98x = 113,689.04 × 46,084.95
  4. Step 4: Simplify right side
    82,383.98x = 5,239,353,493.52
  5. Step 5: Solve for x
    x = 5,239,353,493.52/82,383.98
  6. Step 6: Final answer
    x = 63,596.76

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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.