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Finding the Fourth Proportional to 30,380.15, 45,567.02 and 8,192.16

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Solution

The fourth proportional to 30,380.15, 45,567.02 and 8,192.16 is: 12,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,380.15 : 45,567.02 = 8,192.16 : x
  2. Step 2: Convert to fraction form
    30,380.15/45,567.02 = 8,192.16/x
  3. Step 3: Cross multiply
    30,380.15x = 45,567.02 × 8,192.16
  4. Step 4: Simplify right side
    30,380.15x = 373,292,339.04
  5. Step 5: Solve for x
    x = 373,292,339.04/30,380.15
  6. Step 6: Final answer
    x = 12,287.38

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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.