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Finding the Fourth Proportional to 37,014.30, 51,080.13 and 21,098.97

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Solution

The fourth proportional to 37,014.30, 51,080.13 and 21,098.97 is: 29,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,014.30 : 51,080.13 = 21,098.97 : x
  2. Step 2: Convert to fraction form
    37,014.30/51,080.13 = 21,098.97/x
  3. Step 3: Cross multiply
    37,014.30x = 51,080.13 × 21,098.97
  4. Step 4: Simplify right side
    37,014.30x = 1,077,738,130.47
  5. Step 5: Solve for x
    x = 1,077,738,130.47/37,014.30
  6. Step 6: Final answer
    x = 29,116.80

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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.