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Finding the Fourth Proportional to 82,368.92, 113,668.26 and 46,069.98

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Solution

The fourth proportional to 82,368.92, 113,668.26 and 46,069.98 is: 63,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,368.92 : 113,668.26 = 46,069.98 : x
  2. Step 2: Convert to fraction form
    82,368.92/113,668.26 = 46,069.98/x
  3. Step 3: Cross multiply
    82,368.92x = 113,668.26 × 46,069.98
  4. Step 4: Simplify right side
    82,368.92x = 5,236,694,464.83
  5. Step 5: Solve for x
    x = 5,236,694,464.83/82,368.92
  6. Step 6: Final answer
    x = 63,576.10

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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.