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Finding the Fourth Proportional to 30,706.66, 46,046.22 and 14,072.14

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Solution

The fourth proportional to 30,706.66, 46,046.22 and 14,072.14 is: 21,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.66 : 46,046.22 = 14,072.14 : x
  2. Step 2: Convert to fraction form
    30,706.66/46,046.22 = 14,072.14/x
  3. Step 3: Cross multiply
    30,706.66x = 46,046.22 × 14,072.14
  4. Step 4: Simplify right side
    30,706.66x = 647,968,854.31
  5. Step 5: Solve for x
    x = 647,968,854.31/30,706.66
  6. Step 6: Final answer
    x = 21,101.90

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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.