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Finding the Fourth Proportional to 82,922.31, 114,431.53 and 46,623.79

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Solution

The fourth proportional to 82,922.31, 114,431.53 and 46,623.79 is: 64,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,922.31 : 114,431.53 = 46,623.79 : x
  2. Step 2: Convert to fraction form
    82,922.31/114,431.53 = 46,623.79/x
  3. Step 3: Cross multiply
    82,922.31x = 114,431.53 × 46,623.79
  4. Step 4: Simplify right side
    82,922.31x = 5,335,231,390.98
  5. Step 5: Solve for x
    x = 5,335,231,390.98/82,922.31
  6. Step 6: Final answer
    x = 64,340.12

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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.