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Finding the Fourth Proportional to 30,893.50, 45,942.82 and 29,909.34

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Solution

The fourth proportional to 30,893.50, 45,942.82 and 29,909.34 is: 44,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.50 : 45,942.82 = 29,909.34 : x
  2. Step 2: Convert to fraction form
    30,893.50/45,942.82 = 29,909.34/x
  3. Step 3: Cross multiply
    30,893.50x = 45,942.82 × 29,909.34
  4. Step 4: Simplify right side
    30,893.50x = 1,374,119,423.94
  5. Step 5: Solve for x
    x = 1,374,119,423.94/30,893.50
  6. Step 6: Final answer
    x = 44,479.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.