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Finding the Fourth Proportional to 54,356.35, 81,534.53 and 47,941.15

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Solution

The fourth proportional to 54,356.35, 81,534.53 and 47,941.15 is: 71,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,356.35 : 81,534.53 = 47,941.15 : x
  2. Step 2: Convert to fraction form
    54,356.35/81,534.53 = 47,941.15/x
  3. Step 3: Cross multiply
    54,356.35x = 81,534.53 × 47,941.15
  4. Step 4: Simplify right side
    54,356.35x = 3,908,858,893.20
  5. Step 5: Solve for x
    x = 3,908,858,893.20/54,356.35
  6. Step 6: Final answer
    x = 71,911.73

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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.