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Finding the Fourth Proportional to 30,538.70, 45,725.94 and 19,385

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Solution

The fourth proportional to 30,538.70, 45,725.94 and 19,385 is: 29,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.70 : 45,725.94 = 19,385 : x
  2. Step 2: Convert to fraction form
    30,538.70/45,725.94 = 19,385/x
  3. Step 3: Cross multiply
    30,538.70x = 45,725.94 × 19,385
  4. Step 4: Simplify right side
    30,538.70x = 886,397,346.90
  5. Step 5: Solve for x
    x = 886,397,346.90/30,538.70
  6. Step 6: Final answer
    x = 29,025.38

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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.