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Finding the Fourth Proportional to 82,078.16, 113,267.85 and 44,352.41

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Solution

The fourth proportional to 82,078.16, 113,267.85 and 44,352.41 is: 61,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,078.16 : 113,267.85 = 44,352.41 : x
  2. Step 2: Convert to fraction form
    82,078.16/113,267.85 = 44,352.41/x
  3. Step 3: Cross multiply
    82,078.16x = 113,267.85 × 44,352.41
  4. Step 4: Simplify right side
    82,078.16x = 5,023,702,123.02
  5. Step 5: Solve for x
    x = 5,023,702,123.02/82,078.16
  6. Step 6: Final answer
    x = 61,206.32

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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.