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Finding the Fourth Proportional to 82,203.96, 113,432.78 and 47,741.96

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Solution

The fourth proportional to 82,203.96, 113,432.78 and 47,741.96 is: 65,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,203.96 : 113,432.78 = 47,741.96 : x
  2. Step 2: Convert to fraction form
    82,203.96/113,432.78 = 47,741.96/x
  3. Step 3: Cross multiply
    82,203.96x = 113,432.78 × 47,741.96
  4. Step 4: Simplify right side
    82,203.96x = 5,415,503,245.45
  5. Step 5: Solve for x
    x = 5,415,503,245.45/82,203.96
  6. Step 6: Final answer
    x = 65,878.86

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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.