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Finding the Fourth Proportional to 82,393.75, 113,715.50 and 52,181.88

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Solution

The fourth proportional to 82,393.75, 113,715.50 and 52,181.88 is: 72,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,393.75 : 113,715.50 = 52,181.88 : x
  2. Step 2: Convert to fraction form
    82,393.75/113,715.50 = 52,181.88/x
  3. Step 3: Cross multiply
    82,393.75x = 113,715.50 × 52,181.88
  4. Step 4: Simplify right side
    82,393.75x = 5,933,888,575.14
  5. Step 5: Solve for x
    x = 5,933,888,575.14/82,393.75
  6. Step 6: Final answer
    x = 72,018.67

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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.