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Finding the Fourth Proportional to 30,603.98, 45,900.69 and 8,114.82

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Solution

The fourth proportional to 30,603.98, 45,900.69 and 8,114.82 is: 12,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603.98 : 45,900.69 = 8,114.82 : x
  2. Step 2: Convert to fraction form
    30,603.98/45,900.69 = 8,114.82/x
  3. Step 3: Cross multiply
    30,603.98x = 45,900.69 × 8,114.82
  4. Step 4: Simplify right side
    30,603.98x = 372,475,837.23
  5. Step 5: Solve for x
    x = 372,475,837.23/30,603.98
  6. Step 6: Final answer
    x = 12,170.83

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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.