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Finding the Fourth Proportional to 33,076.80, 49,615.20 and 13,345.20

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Solution

The fourth proportional to 33,076.80, 49,615.20 and 13,345.20 is: 20,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,076.80 : 49,615.20 = 13,345.20 : x
  2. Step 2: Convert to fraction form
    33,076.80/49,615.20 = 13,345.20/x
  3. Step 3: Cross multiply
    33,076.80x = 49,615.20 × 13,345.20
  4. Step 4: Simplify right side
    33,076.80x = 662,124,767.04
  5. Step 5: Solve for x
    x = 662,124,767.04/33,076.80
  6. Step 6: Final answer
    x = 20,017.80

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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.