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Finding the Fourth Proportional to 30,106.94, 45,175.83 and 14,329.82

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Solution

The fourth proportional to 30,106.94, 45,175.83 and 14,329.82 is: 21,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.94 : 45,175.83 = 14,329.82 : x
  2. Step 2: Convert to fraction form
    30,106.94/45,175.83 = 14,329.82/x
  3. Step 3: Cross multiply
    30,106.94x = 45,175.83 × 14,329.82
  4. Step 4: Simplify right side
    30,106.94x = 647,361,512.25
  5. Step 5: Solve for x
    x = 647,361,512.25/30,106.94
  6. Step 6: Final answer
    x = 21,502.07

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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.