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Finding the Fourth Proportional to 33,201.63, 49,802.35 and 10,407.22

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Solution

The fourth proportional to 33,201.63, 49,802.35 and 10,407.22 is: 15,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,201.63 : 49,802.35 = 10,407.22 : x
  2. Step 2: Convert to fraction form
    33,201.63/49,802.35 = 10,407.22/x
  3. Step 3: Cross multiply
    33,201.63x = 49,802.35 × 10,407.22
  4. Step 4: Simplify right side
    33,201.63x = 518,303,960.93
  5. Step 5: Solve for x
    x = 518,303,960.93/33,201.63
  6. Step 6: Final answer
    x = 15,610.80

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1.5x scale

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.