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Finding the Fourth Proportional to 82,083.96, 113,266.22 and 46,271.84

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Solution

The fourth proportional to 82,083.96, 113,266.22 and 46,271.84 is: 63,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,083.96 : 113,266.22 = 46,271.84 : x
  2. Step 2: Convert to fraction form
    82,083.96/113,266.22 = 46,271.84/x
  3. Step 3: Cross multiply
    82,083.96x = 113,266.22 × 46,271.84
  4. Step 4: Simplify right side
    82,083.96x = 5,241,035,611.55
  5. Step 5: Solve for x
    x = 5,241,035,611.55/82,083.96
  6. Step 6: Final answer
    x = 63,849.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.