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Finding the Fourth Proportional to 82,020.87, 113,189.20 and 46,211.45

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Solution

The fourth proportional to 82,020.87, 113,189.20 and 46,211.45 is: 63,772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,020.87 : 113,189.20 = 46,211.45 : x
  2. Step 2: Convert to fraction form
    82,020.87/113,189.20 = 46,211.45/x
  3. Step 3: Cross multiply
    82,020.87x = 113,189.20 × 46,211.45
  4. Step 4: Simplify right side
    82,020.87x = 5,230,637,056.34
  5. Step 5: Solve for x
    x = 5,230,637,056.34/82,020.87
  6. Step 6: Final answer
    x = 63,772.03

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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.