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Finding the Fourth Proportional to 54,672.98, 81,881.87 and 42,093.14

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Solution

The fourth proportional to 54,672.98, 81,881.87 and 42,093.14 is: 63,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,672.98 : 81,881.87 = 42,093.14 : x
  2. Step 2: Convert to fraction form
    54,672.98/81,881.87 = 42,093.14/x
  3. Step 3: Cross multiply
    54,672.98x = 81,881.87 × 42,093.14
  4. Step 4: Simplify right side
    54,672.98x = 3,446,664,397.50
  5. Step 5: Solve for x
    x = 3,446,664,397.50/54,672.98
  6. Step 6: Final answer
    x = 63,041.46

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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.