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Finding the Fourth Proportional to 37,083.56, 55,632.60 and 16,307

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Solution

The fourth proportional to 37,083.56, 55,632.60 and 16,307 is: 24,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,083.56 : 55,632.60 = 16,307 : x
  2. Step 2: Convert to fraction form
    37,083.56/55,632.60 = 16,307/x
  3. Step 3: Cross multiply
    37,083.56x = 55,632.60 × 16,307
  4. Step 4: Simplify right side
    37,083.56x = 907,200,808.20
  5. Step 5: Solve for x
    x = 907,200,808.20/37,083.56
  6. Step 6: Final answer
    x = 24,463.69

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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.