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Finding the Fourth Proportional to 37,080.56, 51,177 and 21,170

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Solution

The fourth proportional to 37,080.56, 51,177 and 21,170 is: 29,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,080.56 : 51,177 = 21,170 : x
  2. Step 2: Convert to fraction form
    37,080.56/51,177 = 21,170/x
  3. Step 3: Cross multiply
    37,080.56x = 51,177 × 21,170
  4. Step 4: Simplify right side
    37,080.56x = 1,083,417,090
  5. Step 5: Solve for x
    x = 1,083,417,090/37,080.56
  6. Step 6: Final answer
    x = 29,217.93

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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.