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Finding the Fourth Proportional to 82,811.82, 114,271.73 and 46,517.34

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Solution

The fourth proportional to 82,811.82, 114,271.73 and 46,517.34 is: 64,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,811.82 : 114,271.73 = 46,517.34 : x
  2. Step 2: Convert to fraction form
    82,811.82/114,271.73 = 46,517.34/x
  3. Step 3: Cross multiply
    82,811.82x = 114,271.73 × 46,517.34
  4. Step 4: Simplify right side
    82,811.82x = 5,315,617,461.61
  5. Step 5: Solve for x
    x = 5,315,617,461.61/82,811.82
  6. Step 6: Final answer
    x = 64,189.11

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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.