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Finding the Fourth Proportional to 30,816.84, 46,225.24 and 8,633.50

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Solution

The fourth proportional to 30,816.84, 46,225.24 and 8,633.50 is: 12,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816.84 : 46,225.24 = 8,633.50 : x
  2. Step 2: Convert to fraction form
    30,816.84/46,225.24 = 8,633.50/x
  3. Step 3: Cross multiply
    30,816.84x = 46,225.24 × 8,633.50
  4. Step 4: Simplify right side
    30,816.84x = 399,085,609.54
  5. Step 5: Solve for x
    x = 399,085,609.54/30,816.84
  6. Step 6: Final answer
    x = 12,950.24

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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.