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Finding the Fourth Proportional to 30,294.70, 45,441.40 and 8,108.08

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Solution

The fourth proportional to 30,294.70, 45,441.40 and 8,108.08 is: 12,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.70 : 45,441.40 = 8,108.08 : x
  2. Step 2: Convert to fraction form
    30,294.70/45,441.40 = 8,108.08/x
  3. Step 3: Cross multiply
    30,294.70x = 45,441.40 × 8,108.08
  4. Step 4: Simplify right side
    30,294.70x = 368,442,506.51
  5. Step 5: Solve for x
    x = 368,442,506.51/30,294.70
  6. Step 6: Final answer
    x = 12,161.95

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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.