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Finding the Fourth Proportional to 30,838.94, 46,262.37 and 11,119.58

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Solution

The fourth proportional to 30,838.94, 46,262.37 and 11,119.58 is: 16,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.94 : 46,262.37 = 11,119.58 : x
  2. Step 2: Convert to fraction form
    30,838.94/46,262.37 = 11,119.58/x
  3. Step 3: Cross multiply
    30,838.94x = 46,262.37 × 11,119.58
  4. Step 4: Simplify right side
    30,838.94x = 514,418,124.20
  5. Step 5: Solve for x
    x = 514,418,124.20/30,838.94
  6. Step 6: Final answer
    x = 16,680.80

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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.