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Finding the Fourth Proportional to 82,018.22, 123,027.32 and 46,933.07

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Solution

The fourth proportional to 82,018.22, 123,027.32 and 46,933.07 is: 70,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,018.22 : 123,027.32 = 46,933.07 : x
  2. Step 2: Convert to fraction form
    82,018.22/123,027.32 = 46,933.07/x
  3. Step 3: Cross multiply
    82,018.22x = 123,027.32 × 46,933.07
  4. Step 4: Simplify right side
    82,018.22x = 5,774,048,971.67
  5. Step 5: Solve for x
    x = 5,774,048,971.67/82,018.22
  6. Step 6: Final answer
    x = 70,399.59

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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.