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Finding the Fourth Proportional to 34,314.26, 51,464.18 and 9,684.50

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Solution

The fourth proportional to 34,314.26, 51,464.18 and 9,684.50 is: 14,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,314.26 : 51,464.18 = 9,684.50 : x
  2. Step 2: Convert to fraction form
    34,314.26/51,464.18 = 9,684.50/x
  3. Step 3: Cross multiply
    34,314.26x = 51,464.18 × 9,684.50
  4. Step 4: Simplify right side
    34,314.26x = 498,404,851.21
  5. Step 5: Solve for x
    x = 498,404,851.21/34,314.26
  6. Step 6: Final answer
    x = 14,524.72

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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.