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Finding the Fourth Proportional to 82,795.64, 124,211.91 and 30,205.12

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Solution

The fourth proportional to 82,795.64, 124,211.91 and 30,205.12 is: 45,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,795.64 : 124,211.91 = 30,205.12 : x
  2. Step 2: Convert to fraction form
    82,795.64/124,211.91 = 30,205.12/x
  3. Step 3: Cross multiply
    82,795.64x = 124,211.91 × 30,205.12
  4. Step 4: Simplify right side
    82,795.64x = 3,751,835,571.47
  5. Step 5: Solve for x
    x = 3,751,835,571.47/82,795.64
  6. Step 6: Final answer
    x = 45,314.41

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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.