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Finding the Fourth Proportional to 38,537.92, 57,771.82 and 14,830.35

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Solution

The fourth proportional to 38,537.92, 57,771.82 and 14,830.35 is: 22,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,537.92 : 57,771.82 = 14,830.35 : x
  2. Step 2: Convert to fraction form
    38,537.92/57,771.82 = 14,830.35/x
  3. Step 3: Cross multiply
    38,537.92x = 57,771.82 × 14,830.35
  4. Step 4: Simplify right side
    38,537.92x = 856,776,310.74
  5. Step 5: Solve for x
    x = 856,776,310.74/38,537.92
  6. Step 6: Final answer
    x = 22,232.03

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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.