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Finding the Fourth Proportional to 33,661.54, 50,468 and 10,275.22

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Solution

The fourth proportional to 33,661.54, 50,468 and 10,275.22 is: 15,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,661.54 : 50,468 = 10,275.22 : x
  2. Step 2: Convert to fraction form
    33,661.54/50,468 = 10,275.22/x
  3. Step 3: Cross multiply
    33,661.54x = 50,468 × 10,275.22
  4. Step 4: Simplify right side
    33,661.54x = 518,569,802.96
  5. Step 5: Solve for x
    x = 518,569,802.96/33,661.54
  6. Step 6: Final answer
    x = 15,405.41

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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.