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Finding the Fourth Proportional to 30,970.26, 46,455.60 and 7,596.69

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Solution

The fourth proportional to 30,970.26, 46,455.60 and 7,596.69 is: 11,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.26 : 46,455.60 = 7,596.69 : x
  2. Step 2: Convert to fraction form
    30,970.26/46,455.60 = 7,596.69/x
  3. Step 3: Cross multiply
    30,970.26x = 46,455.60 × 7,596.69
  4. Step 4: Simplify right side
    30,970.26x = 352,908,791.96
  5. Step 5: Solve for x
    x = 352,908,791.96/30,970.26
  6. Step 6: Final answer
    x = 11,395.09

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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.