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Finding the Fourth Proportional to 37,523.16, 56,268.12 and 11,223

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Solution

The fourth proportional to 37,523.16, 56,268.12 and 11,223 is: 16,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,523.16 : 56,268.12 = 11,223 : x
  2. Step 2: Convert to fraction form
    37,523.16/56,268.12 = 11,223/x
  3. Step 3: Cross multiply
    37,523.16x = 56,268.12 × 11,223
  4. Step 4: Simplify right side
    37,523.16x = 631,497,110.76
  5. Step 5: Solve for x
    x = 631,497,110.76/37,523.16
  6. Step 6: Final answer
    x = 16,829.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.