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Finding the Fourth Proportional to 43,321, 59,783.16 and 23,449

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Solution

The fourth proportional to 43,321, 59,783.16 and 23,449 is: 32,359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,321 : 59,783.16 = 23,449 : x
  2. Step 2: Convert to fraction form
    43,321/59,783.16 = 23,449/x
  3. Step 3: Cross multiply
    43,321x = 59,783.16 × 23,449
  4. Step 4: Simplify right side
    43,321x = 1,401,855,318.84
  5. Step 5: Solve for x
    x = 1,401,855,318.84/43,321
  6. Step 6: Final answer
    x = 32,359.72

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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.