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Finding the Fourth Proportional to 37,731.67, 56,597.46 and 10,029.67

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Solution

The fourth proportional to 37,731.67, 56,597.46 and 10,029.67 is: 15,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,731.67 : 56,597.46 = 10,029.67 : x
  2. Step 2: Convert to fraction form
    37,731.67/56,597.46 = 10,029.67/x
  3. Step 3: Cross multiply
    37,731.67x = 56,597.46 × 10,029.67
  4. Step 4: Simplify right side
    37,731.67x = 567,653,846.64
  5. Step 5: Solve for x
    x = 567,653,846.64/37,731.67
  6. Step 6: Final answer
    x = 15,044.49

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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.