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Finding the Fourth Proportional to 46,282.49, 69,409.35 and 16,696.46

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Solution

The fourth proportional to 46,282.49, 69,409.35 and 16,696.46 is: 25,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,282.49 : 69,409.35 = 16,696.46 : x
  2. Step 2: Convert to fraction form
    46,282.49/69,409.35 = 16,696.46/x
  3. Step 3: Cross multiply
    46,282.49x = 69,409.35 × 16,696.46
  4. Step 4: Simplify right side
    46,282.49x = 1,158,890,435.90
  5. Step 5: Solve for x
    x = 1,158,890,435.90/46,282.49
  6. Step 6: Final answer
    x = 25,039.50

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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.