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Finding the Fourth Proportional to 30,163.06, 45,237.30 and 12,646

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Solution

The fourth proportional to 30,163.06, 45,237.30 and 12,646 is: 18,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,163.06 : 45,237.30 = 12,646 : x
  2. Step 2: Convert to fraction form
    30,163.06/45,237.30 = 12,646/x
  3. Step 3: Cross multiply
    30,163.06x = 45,237.30 × 12,646
  4. Step 4: Simplify right side
    30,163.06x = 572,070,895.80
  5. Step 5: Solve for x
    x = 572,070,895.80/30,163.06
  6. Step 6: Final answer
    x = 18,965.94

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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.