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Finding the Fourth Proportional to 30,647.30, 45,970.03 and 8,462.03

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Solution

The fourth proportional to 30,647.30, 45,970.03 and 8,462.03 is: 12,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.30 : 45,970.03 = 8,462.03 : x
  2. Step 2: Convert to fraction form
    30,647.30/45,970.03 = 8,462.03/x
  3. Step 3: Cross multiply
    30,647.30x = 45,970.03 × 8,462.03
  4. Step 4: Simplify right side
    30,647.30x = 388,999,772.96
  5. Step 5: Solve for x
    x = 388,999,772.96/30,647.30
  6. Step 6: Final answer
    x = 12,692.79

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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.