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Finding the Fourth Proportional to 31,084.49, 46,646.18 and 12,616.49

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Solution

The fourth proportional to 31,084.49, 46,646.18 and 12,616.49 is: 18,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,084.49 : 46,646.18 = 12,616.49 : x
  2. Step 2: Convert to fraction form
    31,084.49/46,646.18 = 12,616.49/x
  3. Step 3: Cross multiply
    31,084.49x = 46,646.18 × 12,616.49
  4. Step 4: Simplify right side
    31,084.49x = 588,511,063.51
  5. Step 5: Solve for x
    x = 588,511,063.51/31,084.49
  6. Step 6: Final answer
    x = 18,932.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.