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Finding the Fourth Proportional to 37,657.74, 51,968.34 and 20,890.74

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Solution

The fourth proportional to 37,657.74, 51,968.34 and 20,890.74 is: 28,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657.74 : 51,968.34 = 20,890.74 : x
  2. Step 2: Convert to fraction form
    37,657.74/51,968.34 = 20,890.74/x
  3. Step 3: Cross multiply
    37,657.74x = 51,968.34 × 20,890.74
  4. Step 4: Simplify right side
    37,657.74x = 1,085,657,079.17
  5. Step 5: Solve for x
    x = 1,085,657,079.17/37,657.74
  6. Step 6: Final answer
    x = 28,829.59

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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.