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Finding the Fourth Proportional to 82,605.34, 123,852.39 and 49,348.63

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Solution

The fourth proportional to 82,605.34, 123,852.39 and 49,348.63 is: 73,989.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,605.34 : 123,852.39 = 49,348.63 : x
  2. Step 2: Convert to fraction form
    82,605.34/123,852.39 = 49,348.63/x
  3. Step 3: Cross multiply
    82,605.34x = 123,852.39 × 49,348.63
  4. Step 4: Simplify right side
    82,605.34x = 6,111,945,768.73
  5. Step 5: Solve for x
    x = 6,111,945,768.73/82,605.34
  6. Step 6: Final answer
    x = 73,989.72

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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.