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Finding the Fourth Proportional to 49,773.69, 74,689.70 and 35,718.57

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Solution

The fourth proportional to 49,773.69, 74,689.70 and 35,718.57 is: 53,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,773.69 : 74,689.70 = 35,718.57 : x
  2. Step 2: Convert to fraction form
    49,773.69/74,689.70 = 35,718.57/x
  3. Step 3: Cross multiply
    49,773.69x = 74,689.70 × 35,718.57
  4. Step 4: Simplify right side
    49,773.69x = 2,667,809,099.14
  5. Step 5: Solve for x
    x = 2,667,809,099.14/49,773.69
  6. Step 6: Final answer
    x = 53,598.78

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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.