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Finding the Fourth Proportional to 34,947, 48,228.78 and 20,043.96

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Solution

The fourth proportional to 34,947, 48,228.78 and 20,043.96 is: 27,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,947 : 48,228.78 = 20,043.96 : x
  2. Step 2: Convert to fraction form
    34,947/48,228.78 = 20,043.96/x
  3. Step 3: Cross multiply
    34,947x = 48,228.78 × 20,043.96
  4. Step 4: Simplify right side
    34,947x = 966,695,737.17
  5. Step 5: Solve for x
    x = 966,695,737.17/34,947
  6. Step 6: Final answer
    x = 27,661.77

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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.