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Finding the Fourth Proportional to 82,692.27, 114,114.53 and 44,966.49

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Solution

The fourth proportional to 82,692.27, 114,114.53 and 44,966.49 is: 62,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,692.27 : 114,114.53 = 44,966.49 : x
  2. Step 2: Convert to fraction form
    82,692.27/114,114.53 = 44,966.49/x
  3. Step 3: Cross multiply
    82,692.27x = 114,114.53 × 44,966.49
  4. Step 4: Simplify right side
    82,692.27x = 5,131,329,647.27
  5. Step 5: Solve for x
    x = 5,131,329,647.27/82,692.27
  6. Step 6: Final answer
    x = 62,053.32

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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.