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Finding the Fourth Proportional to 40,832, 56,352.48 and 25,928

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Solution

The fourth proportional to 40,832, 56,352.48 and 25,928 is: 35,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,832 : 56,352.48 = 25,928 : x
  2. Step 2: Convert to fraction form
    40,832/56,352.48 = 25,928/x
  3. Step 3: Cross multiply
    40,832x = 56,352.48 × 25,928
  4. Step 4: Simplify right side
    40,832x = 1,461,107,101.44
  5. Step 5: Solve for x
    x = 1,461,107,101.44/40,832
  6. Step 6: Final answer
    x = 35,783.38

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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.