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Finding the Fourth Proportional to 38,410.40, 57,618.30 and 21,778.40

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Solution

The fourth proportional to 38,410.40, 57,618.30 and 21,778.40 is: 32,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,410.40 : 57,618.30 = 21,778.40 : x
  2. Step 2: Convert to fraction form
    38,410.40/57,618.30 = 21,778.40/x
  3. Step 3: Cross multiply
    38,410.40x = 57,618.30 × 21,778.40
  4. Step 4: Simplify right side
    38,410.40x = 1,254,834,384.72
  5. Step 5: Solve for x
    x = 1,254,834,384.72/38,410.40
  6. Step 6: Final answer
    x = 32,669.13

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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.