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Finding the Fourth Proportional to 37,704.72, 52,145.28 and 32,980.80

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Solution

The fourth proportional to 37,704.72, 52,145.28 and 32,980.80 is: 45,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,704.72 : 52,145.28 = 32,980.80 : x
  2. Step 2: Convert to fraction form
    37,704.72/52,145.28 = 32,980.80/x
  3. Step 3: Cross multiply
    37,704.72x = 52,145.28 × 32,980.80
  4. Step 4: Simplify right side
    37,704.72x = 1,719,793,050.62
  5. Step 5: Solve for x
    x = 1,719,793,050.62/37,704.72
  6. Step 6: Final answer
    x = 45,612.14

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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.