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Finding the Fourth Proportional to 33,748, 46,571.76 and 19,608.80

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Solution

The fourth proportional to 33,748, 46,571.76 and 19,608.80 is: 27,059.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,748 : 46,571.76 = 19,608.80 : x
  2. Step 2: Convert to fraction form
    33,748/46,571.76 = 19,608.80/x
  3. Step 3: Cross multiply
    33,748x = 46,571.76 × 19,608.80
  4. Step 4: Simplify right side
    33,748x = 913,216,327.49
  5. Step 5: Solve for x
    x = 913,216,327.49/33,748
  6. Step 6: Final answer
    x = 27,059.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.