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Finding the Fourth Proportional to 30,294.90, 45,442.98 and 8,108.25

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Solution

The fourth proportional to 30,294.90, 45,442.98 and 8,108.25 is: 12,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.90 : 45,442.98 = 8,108.25 : x
  2. Step 2: Convert to fraction form
    30,294.90/45,442.98 = 8,108.25/x
  3. Step 3: Cross multiply
    30,294.90x = 45,442.98 × 8,108.25
  4. Step 4: Simplify right side
    30,294.90x = 368,463,042.59
  5. Step 5: Solve for x
    x = 368,463,042.59/30,294.90
  6. Step 6: Final answer
    x = 12,162.54

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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.