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Finding the Fourth Proportional to 30,638.48, 45,952.23 and 8,149.28

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Solution

The fourth proportional to 30,638.48, 45,952.23 and 8,149.28 is: 12,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.48 : 45,952.23 = 8,149.28 : x
  2. Step 2: Convert to fraction form
    30,638.48/45,952.23 = 8,149.28/x
  3. Step 3: Cross multiply
    30,638.48x = 45,952.23 × 8,149.28
  4. Step 4: Simplify right side
    30,638.48x = 374,477,359.13
  5. Step 5: Solve for x
    x = 374,477,359.13/30,638.48
  6. Step 6: Final answer
    x = 12,222.45

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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.