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Finding the Fourth Proportional to 31,494.82, 43,465.29 and 18,070.42

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Solution

The fourth proportional to 31,494.82, 43,465.29 and 18,070.42 is: 24,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494.82 : 43,465.29 = 18,070.42 : x
  2. Step 2: Convert to fraction form
    31,494.82/43,465.29 = 18,070.42/x
  3. Step 3: Cross multiply
    31,494.82x = 43,465.29 × 18,070.42
  4. Step 4: Simplify right side
    31,494.82x = 785,436,045.72
  5. Step 5: Solve for x
    x = 785,436,045.72/31,494.82
  6. Step 6: Final answer
    x = 24,938.58

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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.