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Finding the Fourth Proportional to 30,766.10, 46,150.83 and 9,706.77

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Solution

The fourth proportional to 30,766.10, 46,150.83 and 9,706.77 is: 14,560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766.10 : 46,150.83 = 9,706.77 : x
  2. Step 2: Convert to fraction form
    30,766.10/46,150.83 = 9,706.77/x
  3. Step 3: Cross multiply
    30,766.10x = 46,150.83 × 9,706.77
  4. Step 4: Simplify right side
    30,766.10x = 447,975,492.12
  5. Step 5: Solve for x
    x = 447,975,492.12/30,766.10
  6. Step 6: Final answer
    x = 14,560.69

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