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Finding the Fourth Proportional to 83,363.64, 125,059.68 and 30,773.40

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Solution

The fourth proportional to 83,363.64, 125,059.68 and 30,773.40 is: 46,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,363.64 : 125,059.68 = 30,773.40 : x
  2. Step 2: Convert to fraction form
    83,363.64/125,059.68 = 30,773.40/x
  3. Step 3: Cross multiply
    83,363.64x = 125,059.68 × 30,773.40
  4. Step 4: Simplify right side
    83,363.64x = 3,848,511,556.51
  5. Step 5: Solve for x
    x = 3,848,511,556.51/83,363.64
  6. Step 6: Final answer
    x = 46,165.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.