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Finding the Fourth Proportional to 37,125.96, 55,691.37 and 10,828.50

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Solution

The fourth proportional to 37,125.96, 55,691.37 and 10,828.50 is: 16,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,125.96 : 55,691.37 = 10,828.50 : x
  2. Step 2: Convert to fraction form
    37,125.96/55,691.37 = 10,828.50/x
  3. Step 3: Cross multiply
    37,125.96x = 55,691.37 × 10,828.50
  4. Step 4: Simplify right side
    37,125.96x = 603,054,000.05
  5. Step 5: Solve for x
    x = 603,054,000.05/37,125.96
  6. Step 6: Final answer
    x = 16,243.46

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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.