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Finding the Fourth Proportional to 67,234.12, 92,782.34 and 37,018.67

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Solution

The fourth proportional to 67,234.12, 92,782.34 and 37,018.67 is: 51,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,234.12 : 92,782.34 = 37,018.67 : x
  2. Step 2: Convert to fraction form
    67,234.12/92,782.34 = 37,018.67/x
  3. Step 3: Cross multiply
    67,234.12x = 92,782.34 × 37,018.67
  4. Step 4: Simplify right side
    67,234.12x = 3,434,678,362.38
  5. Step 5: Solve for x
    x = 3,434,678,362.38/67,234.12
  6. Step 6: Final answer
    x = 51,085.35

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Why These Related Problems?

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