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Finding the Fourth Proportional to 43,250, 59,685 and 23,378

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Solution

The fourth proportional to 43,250, 59,685 and 23,378 is: 32,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,250 : 59,685 = 23,378 : x
  2. Step 2: Convert to fraction form
    43,250/59,685 = 23,378/x
  3. Step 3: Cross multiply
    43,250x = 59,685 × 23,378
  4. Step 4: Simplify right side
    43,250x = 1,395,315,930
  5. Step 5: Solve for x
    x = 1,395,315,930/43,250
  6. Step 6: Final answer
    x = 32,261.64

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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.