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Finding the Fourth Proportional to 74,461.14, 102,757.16 and 40,469.64

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Solution

The fourth proportional to 74,461.14, 102,757.16 and 40,469.64 is: 55,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,461.14 : 102,757.16 = 40,469.64 : x
  2. Step 2: Convert to fraction form
    74,461.14/102,757.16 = 40,469.64/x
  3. Step 3: Cross multiply
    74,461.14x = 102,757.16 × 40,469.64
  4. Step 4: Simplify right side
    74,461.14x = 4,158,545,272.62
  5. Step 5: Solve for x
    x = 4,158,545,272.62/74,461.14
  6. Step 6: Final answer
    x = 55,848.53

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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.