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Finding the Fourth Proportional to 37,182.84, 51,304.20 and 22,080.48

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Solution

The fourth proportional to 37,182.84, 51,304.20 and 22,080.48 is: 30,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,182.84 : 51,304.20 = 22,080.48 : x
  2. Step 2: Convert to fraction form
    37,182.84/51,304.20 = 22,080.48/x
  3. Step 3: Cross multiply
    37,182.84x = 51,304.20 × 22,080.48
  4. Step 4: Simplify right side
    37,182.84x = 1,132,821,362.02
  5. Step 5: Solve for x
    x = 1,132,821,362.02/37,182.84
  6. Step 6: Final answer
    x = 30,466.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.