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Finding the Fourth Proportional to 38,234.88, 57,330 and 14,833.98

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Solution

The fourth proportional to 38,234.88, 57,330 and 14,833.98 is: 22,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,234.88 : 57,330 = 14,833.98 : x
  2. Step 2: Convert to fraction form
    38,234.88/57,330 = 14,833.98/x
  3. Step 3: Cross multiply
    38,234.88x = 57,330 × 14,833.98
  4. Step 4: Simplify right side
    38,234.88x = 850,432,073.40
  5. Step 5: Solve for x
    x = 850,432,073.40/38,234.88
  6. Step 6: Final answer
    x = 22,242.31

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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.