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Finding the Fourth Proportional to 34,888.68, 48,145.38 and 19,782.78

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Solution

The fourth proportional to 34,888.68, 48,145.38 and 19,782.78 is: 27,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,888.68 : 48,145.38 = 19,782.78 : x
  2. Step 2: Convert to fraction form
    34,888.68/48,145.38 = 19,782.78/x
  3. Step 3: Cross multiply
    34,888.68x = 48,145.38 × 19,782.78
  4. Step 4: Simplify right side
    34,888.68x = 952,449,460.56
  5. Step 5: Solve for x
    x = 952,449,460.56/34,888.68
  6. Step 6: Final answer
    x = 27,299.67

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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.