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Finding the Fourth Proportional to 30,103.28, 41,447.46 and 26,516

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Solution

The fourth proportional to 30,103.28, 41,447.46 and 26,516 is: 36,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,103.28 : 41,447.46 = 26,516 : x
  2. Step 2: Convert to fraction form
    30,103.28/41,447.46 = 26,516/x
  3. Step 3: Cross multiply
    30,103.28x = 41,447.46 × 26,516
  4. Step 4: Simplify right side
    30,103.28x = 1,099,020,849.36
  5. Step 5: Solve for x
    x = 1,099,020,849.36/30,103.28
  6. Step 6: Final answer
    x = 36,508.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.