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Finding the Fourth Proportional to 82,072, 113,259.36 and 46,744

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Solution

The fourth proportional to 82,072, 113,259.36 and 46,744 is: 64,506.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,072 : 113,259.36 = 46,744 : x
  2. Step 2: Convert to fraction form
    82,072/113,259.36 = 46,744/x
  3. Step 3: Cross multiply
    82,072x = 113,259.36 × 46,744
  4. Step 4: Simplify right side
    82,072x = 5,294,195,523.84
  5. Step 5: Solve for x
    x = 5,294,195,523.84/82,072
  6. Step 6: Final answer
    x = 64,506.72

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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.