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Finding the Fourth Proportional to 30,202.90, 45,294.08 and 11,478.43

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Solution

The fourth proportional to 30,202.90, 45,294.08 and 11,478.43 is: 17,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.90 : 45,294.08 = 11,478.43 : x
  2. Step 2: Convert to fraction form
    30,202.90/45,294.08 = 11,478.43/x
  3. Step 3: Cross multiply
    30,202.90x = 45,294.08 × 11,478.43
  4. Step 4: Simplify right side
    30,202.90x = 519,904,869.30
  5. Step 5: Solve for x
    x = 519,904,869.30/30,202.90
  6. Step 6: Final answer
    x = 17,213.74

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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.