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Finding the Fourth Proportional to 44,458.56, 66,614 and 31,283.28

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Solution

The fourth proportional to 44,458.56, 66,614 and 31,283.28 is: 46,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,458.56 : 66,614 = 31,283.28 : x
  2. Step 2: Convert to fraction form
    44,458.56/66,614 = 31,283.28/x
  3. Step 3: Cross multiply
    44,458.56x = 66,614 × 31,283.28
  4. Step 4: Simplify right side
    44,458.56x = 2,083,904,413.92
  5. Step 5: Solve for x
    x = 2,083,904,413.92/44,458.56
  6. Step 6: Final answer
    x = 46,872.96

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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.