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Finding the Fourth Proportional to 30,292.36, 45,435.29 and 8,107.97

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Solution

The fourth proportional to 30,292.36, 45,435.29 and 8,107.97 is: 12,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292.36 : 45,435.29 = 8,107.97 : x
  2. Step 2: Convert to fraction form
    30,292.36/45,435.29 = 8,107.97/x
  3. Step 3: Cross multiply
    30,292.36x = 45,435.29 × 8,107.97
  4. Step 4: Simplify right side
    30,292.36x = 368,387,700.55
  5. Step 5: Solve for x
    x = 368,387,700.55/30,292.36
  6. Step 6: Final answer
    x = 12,161.08

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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.