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Finding the Fourth Proportional to 30,969.26, 46,454.10 and 7,595.69

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Solution

The fourth proportional to 30,969.26, 46,454.10 and 7,595.69 is: 11,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.26 : 46,454.10 = 7,595.69 : x
  2. Step 2: Convert to fraction form
    30,969.26/46,454.10 = 7,595.69/x
  3. Step 3: Cross multiply
    30,969.26x = 46,454.10 × 7,595.69
  4. Step 4: Simplify right side
    30,969.26x = 352,850,942.83
  5. Step 5: Solve for x
    x = 352,850,942.83/30,969.26
  6. Step 6: Final answer
    x = 11,393.59

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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.