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Finding the Fourth Proportional to 30,805.51, 42,408.75 and 29,394.90

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Solution

The fourth proportional to 30,805.51, 42,408.75 and 29,394.90 is: 40,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.51 : 42,408.75 = 29,394.90 : x
  2. Step 2: Convert to fraction form
    30,805.51/42,408.75 = 29,394.90/x
  3. Step 3: Cross multiply
    30,805.51x = 42,408.75 × 29,394.90
  4. Step 4: Simplify right side
    30,805.51x = 1,246,600,965.38
  5. Step 5: Solve for x
    x = 1,246,600,965.38/30,805.51
  6. Step 6: Final answer
    x = 40,466.82

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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.