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Finding the Fourth Proportional to 30,998.50, 46,497.77 and 10,222

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Solution

The fourth proportional to 30,998.50, 46,497.77 and 10,222 is: 15,333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.50 : 46,497.77 = 10,222 : x
  2. Step 2: Convert to fraction form
    30,998.50/46,497.77 = 10,222/x
  3. Step 3: Cross multiply
    30,998.50x = 46,497.77 × 10,222
  4. Step 4: Simplify right side
    30,998.50x = 475,300,230.50
  5. Step 5: Solve for x
    x = 475,300,230.50/30,998.50
  6. Step 6: Final answer
    x = 15,333.01

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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.