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Finding the Fourth Proportional to 34,947, 48,230.10 and 20,043

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Solution

The fourth proportional to 34,947, 48,230.10 and 20,043 is: 27,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,947 : 48,230.10 = 20,043 : x
  2. Step 2: Convert to fraction form
    34,947/48,230.10 = 20,043/x
  3. Step 3: Cross multiply
    34,947x = 48,230.10 × 20,043
  4. Step 4: Simplify right side
    34,947x = 966,675,894.30
  5. Step 5: Solve for x
    x = 966,675,894.30/34,947
  6. Step 6: Final answer
    x = 27,661.20

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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.