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Finding the Fourth Proportional to 50,257.44, 75,386.16 and 22,536

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Solution

The fourth proportional to 50,257.44, 75,386.16 and 22,536 is: 33,804

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,257.44 : 75,386.16 = 22,536 : x
  2. Step 2: Convert to fraction form
    50,257.44/75,386.16 = 22,536/x
  3. Step 3: Cross multiply
    50,257.44x = 75,386.16 × 22,536
  4. Step 4: Simplify right side
    50,257.44x = 1,698,902,501.76
  5. Step 5: Solve for x
    x = 1,698,902,501.76/50,257.44
  6. Step 6: Final answer
    x = 33,804

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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.