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Finding the Fourth Proportional to 84,213.90, 116,215.38 and 45,973.46

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Solution

The fourth proportional to 84,213.90, 116,215.38 and 45,973.46 is: 63,443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,213.90 : 116,215.38 = 45,973.46 : x
  2. Step 2: Convert to fraction form
    84,213.90/116,215.38 = 45,973.46/x
  3. Step 3: Cross multiply
    84,213.90x = 116,215.38 × 45,973.46
  4. Step 4: Simplify right side
    84,213.90x = 5,342,823,414.35
  5. Step 5: Solve for x
    x = 5,342,823,414.35/84,213.90
  6. Step 6: Final answer
    x = 63,443.49

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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.