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Finding the Fourth Proportional to 37,538.96, 51,756.72 and 24,086.48

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Solution

The fourth proportional to 37,538.96, 51,756.72 and 24,086.48 is: 33,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,538.96 : 51,756.72 = 24,086.48 : x
  2. Step 2: Convert to fraction form
    37,538.96/51,756.72 = 24,086.48/x
  3. Step 3: Cross multiply
    37,538.96x = 51,756.72 × 24,086.48
  4. Step 4: Simplify right side
    37,538.96x = 1,246,637,201.15
  5. Step 5: Solve for x
    x = 1,246,637,201.15/37,538.96
  6. Step 6: Final answer
    x = 33,209.16

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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.