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Finding the Fourth Proportional to 43,706, 60,315 and 23,834

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Solution

The fourth proportional to 43,706, 60,315 and 23,834 is: 32,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,706 : 60,315 = 23,834 : x
  2. Step 2: Convert to fraction form
    43,706/60,315 = 23,834/x
  3. Step 3: Cross multiply
    43,706x = 60,315 × 23,834
  4. Step 4: Simplify right side
    43,706x = 1,437,547,710
  5. Step 5: Solve for x
    x = 1,437,547,710/43,706
  6. Step 6: Final answer
    x = 32,891.31

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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.