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Finding the Fourth Proportional to 37,741.25, 52,085.64 and 22,633.64

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Solution

The fourth proportional to 37,741.25, 52,085.64 and 22,633.64 is: 31,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,741.25 : 52,085.64 = 22,633.64 : x
  2. Step 2: Convert to fraction form
    37,741.25/52,085.64 = 22,633.64/x
  3. Step 3: Cross multiply
    37,741.25x = 52,085.64 × 22,633.64
  4. Step 4: Simplify right side
    37,741.25x = 1,178,887,624.93
  5. Step 5: Solve for x
    x = 1,178,887,624.93/37,741.25
  6. Step 6: Final answer
    x = 31,236.05

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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.