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Finding the Fourth Proportional to 38,006.57, 52,453.50 and 31,621.88

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Solution

The fourth proportional to 38,006.57, 52,453.50 and 31,621.88 is: 43,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,006.57 : 52,453.50 = 31,621.88 : x
  2. Step 2: Convert to fraction form
    38,006.57/52,453.50 = 31,621.88/x
  3. Step 3: Cross multiply
    38,006.57x = 52,453.50 × 31,621.88
  4. Step 4: Simplify right side
    38,006.57x = 1,658,678,282.58
  5. Step 5: Solve for x
    x = 1,658,678,282.58/38,006.57
  6. Step 6: Final answer
    x = 43,641.88

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