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Finding the Fourth Proportional to 49,812.77, 74,733.66 and 16,078.07

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Solution

The fourth proportional to 49,812.77, 74,733.66 and 16,078.07 is: 24,121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,812.77 : 74,733.66 = 16,078.07 : x
  2. Step 2: Convert to fraction form
    49,812.77/74,733.66 = 16,078.07/x
  3. Step 3: Cross multiply
    49,812.77x = 74,733.66 × 16,078.07
  4. Step 4: Simplify right side
    49,812.77x = 1,201,573,016.84
  5. Step 5: Solve for x
    x = 1,201,573,016.84/49,812.77
  6. Step 6: Final answer
    x = 24,121.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.