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Finding the Fourth Proportional to 54,070.19, 74,611.73 and 31,408.56

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Solution

The fourth proportional to 54,070.19, 74,611.73 and 31,408.56 is: 43,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,070.19 : 74,611.73 = 31,408.56 : x
  2. Step 2: Convert to fraction form
    54,070.19/74,611.73 = 31,408.56/x
  3. Step 3: Cross multiply
    54,070.19x = 74,611.73 × 31,408.56
  4. Step 4: Simplify right side
    54,070.19x = 2,343,446,998.41
  5. Step 5: Solve for x
    x = 2,343,446,998.41/54,070.19
  6. Step 6: Final answer
    x = 43,340.83

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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.