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Finding the Fourth Proportional to 38,462.50, 57,695.91 and 10,762.66

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Solution

The fourth proportional to 38,462.50, 57,695.91 and 10,762.66 is: 16,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.50 : 57,695.91 = 10,762.66 : x
  2. Step 2: Convert to fraction form
    38,462.50/57,695.91 = 10,762.66/x
  3. Step 3: Cross multiply
    38,462.50x = 57,695.91 × 10,762.66
  4. Step 4: Simplify right side
    38,462.50x = 620,961,462.72
  5. Step 5: Solve for x
    x = 620,961,462.72/38,462.50
  6. Step 6: Final answer
    x = 16,144.59

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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.