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Finding the Fourth Proportional to 82,062, 123,110.36 and 26,662.32

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Solution

The fourth proportional to 82,062, 123,110.36 and 26,662.32 is: 39,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,062 : 123,110.36 = 26,662.32 : x
  2. Step 2: Convert to fraction form
    82,062/123,110.36 = 26,662.32/x
  3. Step 3: Cross multiply
    82,062x = 123,110.36 × 26,662.32
  4. Step 4: Simplify right side
    82,062x = 3,282,407,813.64
  5. Step 5: Solve for x
    x = 3,282,407,813.64/82,062
  6. Step 6: Final answer
    x = 39,999.12

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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.