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Finding the Fourth Proportional to 37,494.36, 51,742.52 and 20,498.40

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Solution

The fourth proportional to 37,494.36, 51,742.52 and 20,498.40 is: 28,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,494.36 : 51,742.52 = 20,498.40 : x
  2. Step 2: Convert to fraction form
    37,494.36/51,742.52 = 20,498.40/x
  3. Step 3: Cross multiply
    37,494.36x = 51,742.52 × 20,498.40
  4. Step 4: Simplify right side
    37,494.36x = 1,060,638,871.97
  5. Step 5: Solve for x
    x = 1,060,638,871.97/37,494.36
  6. Step 6: Final answer
    x = 28,287.96

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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.