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Finding the Fourth Proportional to 49,521.50, 74,273.63 and 22,865.22

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Solution

The fourth proportional to 49,521.50, 74,273.63 and 22,865.22 is: 34,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,521.50 : 74,273.63 = 22,865.22 : x
  2. Step 2: Convert to fraction form
    49,521.50/74,273.63 = 22,865.22/x
  3. Step 3: Cross multiply
    49,521.50x = 74,273.63 × 22,865.22
  4. Step 4: Simplify right side
    49,521.50x = 1,698,282,775.82
  5. Step 5: Solve for x
    x = 1,698,282,775.82/49,521.50
  6. Step 6: Final answer
    x = 34,293.85

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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.