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Finding the Fourth Proportional to 76,734.54, 105,893.86 and 44,475.38

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Solution

The fourth proportional to 76,734.54, 105,893.86 and 44,475.38 is: 61,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,734.54 : 105,893.86 = 44,475.38 : x
  2. Step 2: Convert to fraction form
    76,734.54/105,893.86 = 44,475.38/x
  3. Step 3: Cross multiply
    76,734.54x = 105,893.86 × 44,475.38
  4. Step 4: Simplify right side
    76,734.54x = 4,709,669,377.92
  5. Step 5: Solve for x
    x = 4,709,669,377.92/76,734.54
  6. Step 6: Final answer
    x = 61,376.13

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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.