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Finding the Fourth Proportional to 30,208.48, 45,315.12 and 8,021.28

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Solution

The fourth proportional to 30,208.48, 45,315.12 and 8,021.28 is: 12,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,208.48 : 45,315.12 = 8,021.28 : x
  2. Step 2: Convert to fraction form
    30,208.48/45,315.12 = 8,021.28/x
  3. Step 3: Cross multiply
    30,208.48x = 45,315.12 × 8,021.28
  4. Step 4: Simplify right side
    30,208.48x = 363,485,265.75
  5. Step 5: Solve for x
    x = 363,485,265.75/30,208.48
  6. Step 6: Final answer
    x = 12,032.56

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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.