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Finding the Fourth Proportional to 82,534.97, 113,898.74 and 48,544.89

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Solution

The fourth proportional to 82,534.97, 113,898.74 and 48,544.89 is: 66,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,534.97 : 113,898.74 = 48,544.89 : x
  2. Step 2: Convert to fraction form
    82,534.97/113,898.74 = 48,544.89/x
  3. Step 3: Cross multiply
    82,534.97x = 113,898.74 × 48,544.89
  4. Step 4: Simplify right side
    82,534.97x = 5,529,201,804.44
  5. Step 5: Solve for x
    x = 5,529,201,804.44/82,534.97
  6. Step 6: Final answer
    x = 66,992.23

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Why These Related Problems?

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