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Finding the Fourth Proportional to 33,725.84, 46,541.38 and 19,580

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Solution

The fourth proportional to 33,725.84, 46,541.38 and 19,580 is: 27,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,725.84 : 46,541.38 = 19,580 : x
  2. Step 2: Convert to fraction form
    33,725.84/46,541.38 = 19,580/x
  3. Step 3: Cross multiply
    33,725.84x = 46,541.38 × 19,580
  4. Step 4: Simplify right side
    33,725.84x = 911,280,220.40
  5. Step 5: Solve for x
    x = 911,280,220.40/33,725.84
  6. Step 6: Final answer
    x = 27,020.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.