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Finding the Fourth Proportional to 30,814.74, 46,223.27 and 8,627.55

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Solution

The fourth proportional to 30,814.74, 46,223.27 and 8,627.55 is: 12,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.74 : 46,223.27 = 8,627.55 : x
  2. Step 2: Convert to fraction form
    30,814.74/46,223.27 = 8,627.55/x
  3. Step 3: Cross multiply
    30,814.74x = 46,223.27 × 8,627.55
  4. Step 4: Simplify right side
    30,814.74x = 398,793,573.09
  5. Step 5: Solve for x
    x = 398,793,573.09/30,814.74
  6. Step 6: Final answer
    x = 12,941.65

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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.