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Finding the Fourth Proportional to 41,599.74, 62,377.74 and 35,782.32

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Solution

The fourth proportional to 41,599.74, 62,377.74 and 35,782.32 is: 53,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,599.74 : 62,377.74 = 35,782.32 : x
  2. Step 2: Convert to fraction form
    41,599.74/62,377.74 = 35,782.32/x
  3. Step 3: Cross multiply
    41,599.74x = 62,377.74 × 35,782.32
  4. Step 4: Simplify right side
    41,599.74x = 2,232,020,253.56
  5. Step 5: Solve for x
    x = 2,232,020,253.56/41,599.74
  6. Step 6: Final answer
    x = 53,654.67

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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.