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Finding the Fourth Proportional to 43,381, 59,865.78 and 23,509

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Solution

The fourth proportional to 43,381, 59,865.78 and 23,509 is: 32,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,381 : 59,865.78 = 23,509 : x
  2. Step 2: Convert to fraction form
    43,381/59,865.78 = 23,509/x
  3. Step 3: Cross multiply
    43,381x = 59,865.78 × 23,509
  4. Step 4: Simplify right side
    43,381x = 1,407,384,622.02
  5. Step 5: Solve for x
    x = 1,407,384,622.02/43,381
  6. Step 6: Final answer
    x = 32,442.42

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1.5x scale

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.