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Finding the Fourth Proportional to 41,364, 57,078 and 23,453.28

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Solution

The fourth proportional to 41,364, 57,078 and 23,453.28 is: 32,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,364 : 57,078 = 23,453.28 : x
  2. Step 2: Convert to fraction form
    41,364/57,078 = 23,453.28/x
  3. Step 3: Cross multiply
    41,364x = 57,078 × 23,453.28
  4. Step 4: Simplify right side
    41,364x = 1,338,666,315.84
  5. Step 5: Solve for x
    x = 1,338,666,315.84/41,364
  6. Step 6: Final answer
    x = 32,363.08

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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.