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Finding the Fourth Proportional to 81,698.82, 122,461.08 and 46,562.82

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Solution

The fourth proportional to 81,698.82, 122,461.08 and 46,562.82 is: 69,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,698.82 : 122,461.08 = 46,562.82 : x
  2. Step 2: Convert to fraction form
    81,698.82/122,461.08 = 46,562.82/x
  3. Step 3: Cross multiply
    81,698.82x = 122,461.08 × 46,562.82
  4. Step 4: Simplify right side
    81,698.82x = 5,702,133,225.05
  5. Step 5: Solve for x
    x = 5,702,133,225.05/81,698.82
  6. Step 6: Final answer
    x = 69,794.56

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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.