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Finding the Fourth Proportional to 30,912.36, 46,377.20 and 10,150.44

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Solution

The fourth proportional to 30,912.36, 46,377.20 and 10,150.44 is: 15,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912.36 : 46,377.20 = 10,150.44 : x
  2. Step 2: Convert to fraction form
    30,912.36/46,377.20 = 10,150.44/x
  3. Step 3: Cross multiply
    30,912.36x = 46,377.20 × 10,150.44
  4. Step 4: Simplify right side
    30,912.36x = 470,748,985.97
  5. Step 5: Solve for x
    x = 470,748,985.97/30,912.36
  6. Step 6: Final answer
    x = 15,228.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.