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Finding the Fourth Proportional to 43,456, 59,970 and 23,584

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Solution

The fourth proportional to 43,456, 59,970 and 23,584 is: 32,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,456 : 59,970 = 23,584 : x
  2. Step 2: Convert to fraction form
    43,456/59,970 = 23,584/x
  3. Step 3: Cross multiply
    43,456x = 59,970 × 23,584
  4. Step 4: Simplify right side
    43,456x = 1,414,332,480
  5. Step 5: Solve for x
    x = 1,414,332,480/43,456
  6. Step 6: Final answer
    x = 32,546.31

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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.