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Finding the Fourth Proportional to 30,941.44, 46,413.07 and 7,567.88

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Solution

The fourth proportional to 30,941.44, 46,413.07 and 7,567.88 is: 11,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.44 : 46,413.07 = 7,567.88 : x
  2. Step 2: Convert to fraction form
    30,941.44/46,413.07 = 7,567.88/x
  3. Step 3: Cross multiply
    30,941.44x = 46,413.07 × 7,567.88
  4. Step 4: Simplify right side
    30,941.44x = 351,248,293.21
  5. Step 5: Solve for x
    x = 351,248,293.21/30,941.44
  6. Step 6: Final answer
    x = 11,352.04

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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.