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Finding the Fourth Proportional to 30,693.06, 46,042.20 and 8,506.44

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Solution

The fourth proportional to 30,693.06, 46,042.20 and 8,506.44 is: 12,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.06 : 46,042.20 = 8,506.44 : x
  2. Step 2: Convert to fraction form
    30,693.06/46,042.20 = 8,506.44/x
  3. Step 3: Cross multiply
    30,693.06x = 46,042.20 × 8,506.44
  4. Step 4: Simplify right side
    30,693.06x = 391,655,211.77
  5. Step 5: Solve for x
    x = 391,655,211.77/30,693.06
  6. Step 6: Final answer
    x = 12,760.38

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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.