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Finding the Fourth Proportional to 82,477.15, 113,819.79 and 44,751.40

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Solution

The fourth proportional to 82,477.15, 113,819.79 and 44,751.40 is: 61,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,477.15 : 113,819.79 = 44,751.40 : x
  2. Step 2: Convert to fraction form
    82,477.15/113,819.79 = 44,751.40/x
  3. Step 3: Cross multiply
    82,477.15x = 113,819.79 × 44,751.40
  4. Step 4: Simplify right side
    82,477.15x = 5,093,594,950.21
  5. Step 5: Solve for x
    x = 5,093,594,950.21/82,477.15
  6. Step 6: Final answer
    x = 61,757.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.