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Finding the Fourth Proportional to 42,219, 63,346.74 and 22,491.96

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Solution

The fourth proportional to 42,219, 63,346.74 and 22,491.96 is: 33,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,219 : 63,346.74 = 22,491.96 : x
  2. Step 2: Convert to fraction form
    42,219/63,346.74 = 22,491.96/x
  3. Step 3: Cross multiply
    42,219x = 63,346.74 × 22,491.96
  4. Step 4: Simplify right side
    42,219x = 1,424,792,342.21
  5. Step 5: Solve for x
    x = 1,424,792,342.21/42,219
  6. Step 6: Final answer
    x = 33,747.66

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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.