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Finding the Fourth Proportional to 45,954, 68,930.46 and 23,810.76

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Solution

The fourth proportional to 45,954, 68,930.46 and 23,810.76 is: 35,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,954 : 68,930.46 = 23,810.76 : x
  2. Step 2: Convert to fraction form
    45,954/68,930.46 = 23,810.76/x
  3. Step 3: Cross multiply
    45,954x = 68,930.46 × 23,810.76
  4. Step 4: Simplify right side
    45,954x = 1,641,286,639.75
  5. Step 5: Solve for x
    x = 1,641,286,639.75/45,954
  6. Step 6: Final answer
    x = 35,715.86

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Why These Related Problems?

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