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Finding the Fourth Proportional to 33,172.34, 49,765.80 and 15,642.32

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Solution

The fourth proportional to 33,172.34, 49,765.80 and 15,642.32 is: 23,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,172.34 : 49,765.80 = 15,642.32 : x
  2. Step 2: Convert to fraction form
    33,172.34/49,765.80 = 15,642.32/x
  3. Step 3: Cross multiply
    33,172.34x = 49,765.80 × 15,642.32
  4. Step 4: Simplify right side
    33,172.34x = 778,452,568.66
  5. Step 5: Solve for x
    x = 778,452,568.66/33,172.34
  6. Step 6: Final answer
    x = 23,466.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.