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Finding the Fourth Proportional to 30,471.20, 45,783.60 and 19,383.20

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Solution

The fourth proportional to 30,471.20, 45,783.60 and 19,383.20 is: 29,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.20 : 45,783.60 = 19,383.20 : x
  2. Step 2: Convert to fraction form
    30,471.20/45,783.60 = 19,383.20/x
  3. Step 3: Cross multiply
    30,471.20x = 45,783.60 × 19,383.20
  4. Step 4: Simplify right side
    30,471.20x = 887,432,675.52
  5. Step 5: Solve for x
    x = 887,432,675.52/30,471.20
  6. Step 6: Final answer
    x = 29,123.65

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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.