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Finding the Fourth Proportional to 33,197.12, 45,812.16 and 18,293.12

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Solution

The fourth proportional to 33,197.12, 45,812.16 and 18,293.12 is: 25,244.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,197.12 : 45,812.16 = 18,293.12 : x
  2. Step 2: Convert to fraction form
    33,197.12/45,812.16 = 18,293.12/x
  3. Step 3: Cross multiply
    33,197.12x = 45,812.16 × 18,293.12
  4. Step 4: Simplify right side
    33,197.12x = 838,047,340.34
  5. Step 5: Solve for x
    x = 838,047,340.34/33,197.12
  6. Step 6: Final answer
    x = 25,244.58

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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.