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Finding the Fourth Proportional to 30,614.16, 42,240.96 and 20,019.36

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Solution

The fourth proportional to 30,614.16, 42,240.96 and 20,019.36 is: 27,622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614.16 : 42,240.96 = 20,019.36 : x
  2. Step 2: Convert to fraction form
    30,614.16/42,240.96 = 20,019.36/x
  3. Step 3: Cross multiply
    30,614.16x = 42,240.96 × 20,019.36
  4. Step 4: Simplify right side
    30,614.16x = 845,636,984.99
  5. Step 5: Solve for x
    x = 845,636,984.99/30,614.16
  6. Step 6: Final answer
    x = 27,622.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.