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Finding the Fourth Proportional to 46,282.35, 69,409.14 and 16,696.34

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Solution

The fourth proportional to 46,282.35, 69,409.14 and 16,696.34 is: 25,039.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,282.35 : 69,409.14 = 16,696.34 : x
  2. Step 2: Convert to fraction form
    46,282.35/69,409.14 = 16,696.34/x
  3. Step 3: Cross multiply
    46,282.35x = 69,409.14 × 16,696.34
  4. Step 4: Simplify right side
    46,282.35x = 1,158,878,253.50
  5. Step 5: Solve for x
    x = 1,158,878,253.50/46,282.35
  6. Step 6: Final answer
    x = 25,039.31

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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.