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Finding the Fourth Proportional to 30,816, 46,227.65 and 10,039.50

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Solution

The fourth proportional to 30,816, 46,227.65 and 10,039.50 is: 15,060.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816 : 46,227.65 = 10,039.50 : x
  2. Step 2: Convert to fraction form
    30,816/46,227.65 = 10,039.50/x
  3. Step 3: Cross multiply
    30,816x = 46,227.65 × 10,039.50
  4. Step 4: Simplify right side
    30,816x = 464,102,441.98
  5. Step 5: Solve for x
    x = 464,102,441.98/30,816
  6. Step 6: Final answer
    x = 15,060.44

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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.