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Finding the Fourth Proportional to 38,533.32, 57,785.40 and 15,147

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Solution

The fourth proportional to 38,533.32, 57,785.40 and 15,147 is: 22,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,533.32 : 57,785.40 = 15,147 : x
  2. Step 2: Convert to fraction form
    38,533.32/57,785.40 = 15,147/x
  3. Step 3: Cross multiply
    38,533.32x = 57,785.40 × 15,147
  4. Step 4: Simplify right side
    38,533.32x = 875,275,453.80
  5. Step 5: Solve for x
    x = 875,275,453.80/38,533.32
  6. Step 6: Final answer
    x = 22,714.77

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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.