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Finding the Fourth Proportional to 38,606.22, 57,811.32 and 32,349.78

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Solution

The fourth proportional to 38,606.22, 57,811.32 and 32,349.78 is: 48,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,606.22 : 57,811.32 = 32,349.78 : x
  2. Step 2: Convert to fraction form
    38,606.22/57,811.32 = 32,349.78/x
  3. Step 3: Cross multiply
    38,606.22x = 57,811.32 × 32,349.78
  4. Step 4: Simplify right side
    38,606.22x = 1,870,183,483.51
  5. Step 5: Solve for x
    x = 1,870,183,483.51/38,606.22
  6. Step 6: Final answer
    x = 48,442.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.