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Finding the Fourth Proportional to 54,707.64, 82,061.82 and 19,647.60

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Solution

The fourth proportional to 54,707.64, 82,061.82 and 19,647.60 is: 29,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,707.64 : 82,061.82 = 19,647.60 : x
  2. Step 2: Convert to fraction form
    54,707.64/82,061.82 = 19,647.60/x
  3. Step 3: Cross multiply
    54,707.64x = 82,061.82 × 19,647.60
  4. Step 4: Simplify right side
    54,707.64x = 1,612,317,814.63
  5. Step 5: Solve for x
    x = 1,612,317,814.63/54,707.64
  6. Step 6: Final answer
    x = 29,471.53

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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.