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Finding the Fourth Proportional to 38,533.34, 57,799.76 and 19,818.60

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Solution

The fourth proportional to 38,533.34, 57,799.76 and 19,818.60 is: 29,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,533.34 : 57,799.76 = 19,818.60 : x
  2. Step 2: Convert to fraction form
    38,533.34/57,799.76 = 19,818.60/x
  3. Step 3: Cross multiply
    38,533.34x = 57,799.76 × 19,818.60
  4. Step 4: Simplify right side
    38,533.34x = 1,145,510,323.54
  5. Step 5: Solve for x
    x = 1,145,510,323.54/38,533.34
  6. Step 6: Final answer
    x = 29,727.77

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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.