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Finding the Fourth Proportional to 31,778.72, 47,649.39 and 12,058.67

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Solution

The fourth proportional to 31,778.72, 47,649.39 and 12,058.67 is: 18,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.72 : 47,649.39 = 12,058.67 : x
  2. Step 2: Convert to fraction form
    31,778.72/47,649.39 = 12,058.67/x
  3. Step 3: Cross multiply
    31,778.72x = 47,649.39 × 12,058.67
  4. Step 4: Simplify right side
    31,778.72x = 574,588,031.46
  5. Step 5: Solve for x
    x = 574,588,031.46/31,778.72
  6. Step 6: Final answer
    x = 18,080.90

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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.