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Finding the Fourth Proportional to 30,596.27, 45,898.04 and 10,876.82

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Solution

The fourth proportional to 30,596.27, 45,898.04 and 10,876.82 is: 16,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.27 : 45,898.04 = 10,876.82 : x
  2. Step 2: Convert to fraction form
    30,596.27/45,898.04 = 10,876.82/x
  3. Step 3: Cross multiply
    30,596.27x = 45,898.04 × 10,876.82
  4. Step 4: Simplify right side
    30,596.27x = 499,224,517.13
  5. Step 5: Solve for x
    x = 499,224,517.13/30,596.27
  6. Step 6: Final answer
    x = 16,316.52

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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.