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Finding the Fourth Proportional to 37,080, 51,180 and 22,184.64

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Solution

The fourth proportional to 37,080, 51,180 and 22,184.64 is: 30,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,080 : 51,180 = 22,184.64 : x
  2. Step 2: Convert to fraction form
    37,080/51,180 = 22,184.64/x
  3. Step 3: Cross multiply
    37,080x = 51,180 × 22,184.64
  4. Step 4: Simplify right side
    37,080x = 1,135,409,875.20
  5. Step 5: Solve for x
    x = 1,135,409,875.20/37,080
  6. Step 6: Final answer
    x = 30,620.55

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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.