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Finding the Fourth Proportional to 41,486.40, 57,087.36 and 37,512

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Solution

The fourth proportional to 41,486.40, 57,087.36 and 37,512 is: 51,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,486.40 : 57,087.36 = 37,512 : x
  2. Step 2: Convert to fraction form
    41,486.40/57,087.36 = 37,512/x
  3. Step 3: Cross multiply
    41,486.40x = 57,087.36 × 37,512
  4. Step 4: Simplify right side
    41,486.40x = 2,141,461,048.32
  5. Step 5: Solve for x
    x = 2,141,461,048.32/41,486.40
  6. Step 6: Final answer
    x = 51,618.39

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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.