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Finding the Fourth Proportional to 30,204.80, 45,301 and 11,478.28

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Solution

The fourth proportional to 30,204.80, 45,301 and 11,478.28 is: 17,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.80 : 45,301 = 11,478.28 : x
  2. Step 2: Convert to fraction form
    30,204.80/45,301 = 11,478.28/x
  3. Step 3: Cross multiply
    30,204.80x = 45,301 × 11,478.28
  4. Step 4: Simplify right side
    30,204.80x = 519,977,562.28
  5. Step 5: Solve for x
    x = 519,977,562.28/30,204.80
  6. Step 6: Final answer
    x = 17,215.06

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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.