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Finding the Fourth Proportional to 30,708.77, 46,046.75 and 9,644.94

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Solution

The fourth proportional to 30,708.77, 46,046.75 and 9,644.94 is: 14,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,708.77 : 46,046.75 = 9,644.94 : x
  2. Step 2: Convert to fraction form
    30,708.77/46,046.75 = 9,644.94/x
  3. Step 3: Cross multiply
    30,708.77x = 46,046.75 × 9,644.94
  4. Step 4: Simplify right side
    30,708.77x = 444,118,092.72
  5. Step 5: Solve for x
    x = 444,118,092.72/30,708.77
  6. Step 6: Final answer
    x = 14,462.26

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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.