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Finding the Fourth Proportional to 83,099.89, 114,676.41 and 47,289.16

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Solution

The fourth proportional to 83,099.89, 114,676.41 and 47,289.16 is: 65,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,099.89 : 114,676.41 = 47,289.16 : x
  2. Step 2: Convert to fraction form
    83,099.89/114,676.41 = 47,289.16/x
  3. Step 3: Cross multiply
    83,099.89x = 114,676.41 × 47,289.16
  4. Step 4: Simplify right side
    83,099.89x = 5,422,951,100.72
  5. Step 5: Solve for x
    x = 5,422,951,100.72/83,099.89
  6. Step 6: Final answer
    x = 65,258.22

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1.5x scale

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.