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Finding the Fourth Proportional to 37,697, 52,021.92 and 20,698.54

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Solution

The fourth proportional to 37,697, 52,021.92 and 20,698.54 is: 28,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,697 : 52,021.92 = 20,698.54 : x
  2. Step 2: Convert to fraction form
    37,697/52,021.92 = 20,698.54/x
  3. Step 3: Cross multiply
    37,697x = 52,021.92 × 20,698.54
  4. Step 4: Simplify right side
    37,697x = 1,076,777,792.00
  5. Step 5: Solve for x
    x = 1,076,777,792.00/37,697
  6. Step 6: Final answer
    x = 28,564.02

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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.