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Finding the Fourth Proportional to 37,730.67, 56,595.96 and 10,028.67

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Solution

The fourth proportional to 37,730.67, 56,595.96 and 10,028.67 is: 15,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,730.67 : 56,595.96 = 10,028.67 : x
  2. Step 2: Convert to fraction form
    37,730.67/56,595.96 = 10,028.67/x
  3. Step 3: Cross multiply
    37,730.67x = 56,595.96 × 10,028.67
  4. Step 4: Simplify right side
    37,730.67x = 567,582,206.17
  5. Step 5: Solve for x
    x = 567,582,206.17/37,730.67
  6. Step 6: Final answer
    x = 15,042.99

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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.