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Finding the Fourth Proportional to 30,515.94, 45,766.53 and 8,329.43

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Solution

The fourth proportional to 30,515.94, 45,766.53 and 8,329.43 is: 12,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,515.94 : 45,766.53 = 8,329.43 : x
  2. Step 2: Convert to fraction form
    30,515.94/45,766.53 = 8,329.43/x
  3. Step 3: Cross multiply
    30,515.94x = 45,766.53 × 8,329.43
  4. Step 4: Simplify right side
    30,515.94x = 381,209,107.98
  5. Step 5: Solve for x
    x = 381,209,107.98/30,515.94
  6. Step 6: Final answer
    x = 12,492.13

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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.