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Finding the Fourth Proportional to 82,866.36, 124,407.94 and 49,193.84

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Solution

The fourth proportional to 82,866.36, 124,407.94 and 49,193.84 is: 73,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,866.36 : 124,407.94 = 49,193.84 : x
  2. Step 2: Convert to fraction form
    82,866.36/124,407.94 = 49,193.84/x
  3. Step 3: Cross multiply
    82,866.36x = 124,407.94 × 49,193.84
  4. Step 4: Simplify right side
    82,866.36x = 6,120,104,295.09
  5. Step 5: Solve for x
    x = 6,120,104,295.09/82,866.36
  6. Step 6: Final answer
    x = 73,855.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.