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Finding the Fourth Proportional to 34,451.82, 47,531.61 and 19,342.38

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Solution

The fourth proportional to 34,451.82, 47,531.61 and 19,342.38 is: 26,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,451.82 : 47,531.61 = 19,342.38 : x
  2. Step 2: Convert to fraction form
    34,451.82/47,531.61 = 19,342.38/x
  3. Step 3: Cross multiply
    34,451.82x = 47,531.61 × 19,342.38
  4. Step 4: Simplify right side
    34,451.82x = 919,374,462.63
  5. Step 5: Solve for x
    x = 919,374,462.63/34,451.82
  6. Step 6: Final answer
    x = 26,685.80

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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.