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Finding the Fourth Proportional to 32,185.44, 48,290.80 and 10,000.56

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Solution

The fourth proportional to 32,185.44, 48,290.80 and 10,000.56 is: 15,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,185.44 : 48,290.80 = 10,000.56 : x
  2. Step 2: Convert to fraction form
    32,185.44/48,290.80 = 10,000.56/x
  3. Step 3: Cross multiply
    32,185.44x = 48,290.80 × 10,000.56
  4. Step 4: Simplify right side
    32,185.44x = 482,935,042.85
  5. Step 5: Solve for x
    x = 482,935,042.85/32,185.44
  6. Step 6: Final answer
    x = 15,004.77

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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.