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Finding the Fourth Proportional to 41,762.44, 57,633.06 and 25,409.44

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Solution

The fourth proportional to 41,762.44, 57,633.06 and 25,409.44 is: 35,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,762.44 : 57,633.06 = 25,409.44 : x
  2. Step 2: Convert to fraction form
    41,762.44/57,633.06 = 25,409.44/x
  3. Step 3: Cross multiply
    41,762.44x = 57,633.06 × 25,409.44
  4. Step 4: Simplify right side
    41,762.44x = 1,464,423,780.09
  5. Step 5: Solve for x
    x = 1,464,423,780.09/41,762.44
  6. Step 6: Final answer
    x = 35,065.57

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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.