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Finding the Fourth Proportional to 77,093.65, 106,383.36 and 46,874.78

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Solution

The fourth proportional to 77,093.65, 106,383.36 and 46,874.78 is: 64,683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,093.65 : 106,383.36 = 46,874.78 : x
  2. Step 2: Convert to fraction form
    77,093.65/106,383.36 = 46,874.78/x
  3. Step 3: Cross multiply
    77,093.65x = 106,383.36 × 46,874.78
  4. Step 4: Simplify right side
    77,093.65x = 4,986,696,239.52
  5. Step 5: Solve for x
    x = 4,986,696,239.52/77,093.65
  6. Step 6: Final answer
    x = 64,683.62

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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.