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Finding the Fourth Proportional to 43,322, 59,784.54 and 23,450

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Solution

The fourth proportional to 43,322, 59,784.54 and 23,450 is: 32,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,322 : 59,784.54 = 23,450 : x
  2. Step 2: Convert to fraction form
    43,322/59,784.54 = 23,450/x
  3. Step 3: Cross multiply
    43,322x = 59,784.54 × 23,450
  4. Step 4: Simplify right side
    43,322x = 1,401,947,463
  5. Step 5: Solve for x
    x = 1,401,947,463/43,322
  6. Step 6: Final answer
    x = 32,361.10

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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.