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Finding the Fourth Proportional to 37,038.80, 51,113.16 and 20,042.67

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Solution

The fourth proportional to 37,038.80, 51,113.16 and 20,042.67 is: 27,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,038.80 : 51,113.16 = 20,042.67 : x
  2. Step 2: Convert to fraction form
    37,038.80/51,113.16 = 20,042.67/x
  3. Step 3: Cross multiply
    37,038.80x = 51,113.16 × 20,042.67
  4. Step 4: Simplify right side
    37,038.80x = 1,024,444,198.54
  5. Step 5: Solve for x
    x = 1,024,444,198.54/37,038.80
  6. Step 6: Final answer
    x = 27,658.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.