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Finding the Fourth Proportional to 49,233.21, 67,942.16 and 28,012.47

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Solution

The fourth proportional to 49,233.21, 67,942.16 and 28,012.47 is: 38,657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,233.21 : 67,942.16 = 28,012.47 : x
  2. Step 2: Convert to fraction form
    49,233.21/67,942.16 = 28,012.47/x
  3. Step 3: Cross multiply
    49,233.21x = 67,942.16 × 28,012.47
  4. Step 4: Simplify right side
    49,233.21x = 1,903,227,718.74
  5. Step 5: Solve for x
    x = 1,903,227,718.74/49,233.21
  6. Step 6: Final answer
    x = 38,657.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.