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Finding the Fourth Proportional to 30,634.96, 45,946.56 and 10,913.44

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Solution

The fourth proportional to 30,634.96, 45,946.56 and 10,913.44 is: 16,368.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,634.96 : 45,946.56 = 10,913.44 : x
  2. Step 2: Convert to fraction form
    30,634.96/45,946.56 = 10,913.44/x
  3. Step 3: Cross multiply
    30,634.96x = 45,946.56 × 10,913.44
  4. Step 4: Simplify right side
    30,634.96x = 501,435,025.77
  5. Step 5: Solve for x
    x = 501,435,025.77/30,634.96
  6. Step 6: Final answer
    x = 16,368.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.