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Finding the Fourth Proportional to 82,554.15, 113,922.52 and 46,747.56

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Solution

The fourth proportional to 82,554.15, 113,922.52 and 46,747.56 is: 64,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,554.15 : 113,922.52 = 46,747.56 : x
  2. Step 2: Convert to fraction form
    82,554.15/113,922.52 = 46,747.56/x
  3. Step 3: Cross multiply
    82,554.15x = 113,922.52 × 46,747.56
  4. Step 4: Simplify right side
    82,554.15x = 5,325,599,839.05
  5. Step 5: Solve for x
    x = 5,325,599,839.05/82,554.15
  6. Step 6: Final answer
    x = 64,510.38

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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.