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Finding the Fourth Proportional to 82,477.30, 113,819.16 and 44,751.52

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Solution

The fourth proportional to 82,477.30, 113,819.16 and 44,751.52 is: 61,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,477.30 : 113,819.16 = 44,751.52 : x
  2. Step 2: Convert to fraction form
    82,477.30/113,819.16 = 44,751.52/x
  3. Step 3: Cross multiply
    82,477.30x = 113,819.16 × 44,751.52
  4. Step 4: Simplify right side
    82,477.30x = 5,093,580,415.12
  5. Step 5: Solve for x
    x = 5,093,580,415.12/82,477.30
  6. Step 6: Final answer
    x = 61,757.36

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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.