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Finding the Fourth Proportional to 82,333.53, 113,638.91 and 46,544.31

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Solution

The fourth proportional to 82,333.53, 113,638.91 and 46,544.31 is: 64,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,333.53 : 113,638.91 = 46,544.31 : x
  2. Step 2: Convert to fraction form
    82,333.53/113,638.91 = 46,544.31/x
  3. Step 3: Cross multiply
    82,333.53x = 113,638.91 × 46,544.31
  4. Step 4: Simplify right side
    82,333.53x = 5,289,244,422.38
  5. Step 5: Solve for x
    x = 5,289,244,422.38/82,333.53
  6. Step 6: Final answer
    x = 64,241.68

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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.