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Finding the Fourth Proportional to 30,891.84, 46,340.16 and 10,117.44

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Solution

The fourth proportional to 30,891.84, 46,340.16 and 10,117.44 is: 15,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.84 : 46,340.16 = 10,117.44 : x
  2. Step 2: Convert to fraction form
    30,891.84/46,340.16 = 10,117.44/x
  3. Step 3: Cross multiply
    30,891.84x = 46,340.16 × 10,117.44
  4. Step 4: Simplify right side
    30,891.84x = 468,843,788.39
  5. Step 5: Solve for x
    x = 468,843,788.39/30,891.84
  6. Step 6: Final answer
    x = 15,176.95

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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.