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Finding the Fourth Proportional to 37,930.50, 56,895.75 and 10,228.50

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Solution

The fourth proportional to 37,930.50, 56,895.75 and 10,228.50 is: 15,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,930.50 : 56,895.75 = 10,228.50 : x
  2. Step 2: Convert to fraction form
    37,930.50/56,895.75 = 10,228.50/x
  3. Step 3: Cross multiply
    37,930.50x = 56,895.75 × 10,228.50
  4. Step 4: Simplify right side
    37,930.50x = 581,958,178.88
  5. Step 5: Solve for x
    x = 581,958,178.88/37,930.50
  6. Step 6: Final answer
    x = 15,342.75

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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.