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Finding the Fourth Proportional to 35,930.32, 53,905.06 and 13,745.50

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Solution

The fourth proportional to 35,930.32, 53,905.06 and 13,745.50 is: 20,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,930.32 : 53,905.06 = 13,745.50 : x
  2. Step 2: Convert to fraction form
    35,930.32/53,905.06 = 13,745.50/x
  3. Step 3: Cross multiply
    35,930.32x = 53,905.06 × 13,745.50
  4. Step 4: Simplify right side
    35,930.32x = 740,951,884.65
  5. Step 5: Solve for x
    x = 740,951,884.65/35,930.32
  6. Step 6: Final answer
    x = 20,621.91

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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.