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Finding the Fourth Proportional to 84,216.20, 116,213.40 and 45,968.18

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Solution

The fourth proportional to 84,216.20, 116,213.40 and 45,968.18 is: 63,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,216.20 : 116,213.40 = 45,968.18 : x
  2. Step 2: Convert to fraction form
    84,216.20/116,213.40 = 45,968.18/x
  3. Step 3: Cross multiply
    84,216.20x = 116,213.40 × 45,968.18
  4. Step 4: Simplify right side
    84,216.20x = 5,342,117,908.55
  5. Step 5: Solve for x
    x = 5,342,117,908.55/84,216.20
  6. Step 6: Final answer
    x = 63,433.38

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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.