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Finding the Fourth Proportional to 49,873, 74,825.70 and 34,895.56

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Solution

The fourth proportional to 49,873, 74,825.70 and 34,895.56 is: 52,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,873 : 74,825.70 = 34,895.56 : x
  2. Step 2: Convert to fraction form
    49,873/74,825.70 = 34,895.56/x
  3. Step 3: Cross multiply
    49,873x = 74,825.70 × 34,895.56
  4. Step 4: Simplify right side
    49,873x = 2,611,084,703.89
  5. Step 5: Solve for x
    x = 2,611,084,703.89/49,873
  6. Step 6: Final answer
    x = 52,354.67

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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.