Home / 49,742.61-74,601.61-31,013

Finding the Fourth Proportional to 49,742.61, 74,601.61 and 31,013

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Solution

The fourth proportional to 49,742.61, 74,601.61 and 31,013 is: 46,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,742.61 : 74,601.61 = 31,013 : x
  2. Step 2: Convert to fraction form
    49,742.61/74,601.61 = 31,013/x
  3. Step 3: Cross multiply
    49,742.61x = 74,601.61 × 31,013
  4. Step 4: Simplify right side
    49,742.61x = 2,313,619,730.93
  5. Step 5: Solve for x
    x = 2,313,619,730.93/49,742.61
  6. Step 6: Final answer
    x = 46,511.83

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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.