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Finding the Fourth Proportional to 74,426.26, 102,708.22 and 40,892.26

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Solution

The fourth proportional to 74,426.26, 102,708.22 and 40,892.26 is: 56,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,426.26 : 102,708.22 = 40,892.26 : x
  2. Step 2: Convert to fraction form
    74,426.26/102,708.22 = 40,892.26/x
  3. Step 3: Cross multiply
    74,426.26x = 102,708.22 × 40,892.26
  4. Step 4: Simplify right side
    74,426.26x = 4,199,971,236.38
  5. Step 5: Solve for x
    x = 4,199,971,236.38/74,426.26
  6. Step 6: Final answer
    x = 56,431.31

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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.