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Finding the Fourth Proportional to 82,796.01, 124,212.47 and 30,205.50

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Solution

The fourth proportional to 82,796.01, 124,212.47 and 30,205.50 is: 45,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,796.01 : 124,212.47 = 30,205.50 : x
  2. Step 2: Convert to fraction form
    82,796.01/124,212.47 = 30,205.50/x
  3. Step 3: Cross multiply
    82,796.01x = 124,212.47 × 30,205.50
  4. Step 4: Simplify right side
    82,796.01x = 3,751,899,762.59
  5. Step 5: Solve for x
    x = 3,751,899,762.59/82,796.01
  6. Step 6: Final answer
    x = 45,314.98

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