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Finding the Fourth Proportional to 74,402.81, 102,676.62 and 40,411.97

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Solution

The fourth proportional to 74,402.81, 102,676.62 and 40,411.97 is: 55,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,402.81 : 102,676.62 = 40,411.97 : x
  2. Step 2: Convert to fraction form
    74,402.81/102,676.62 = 40,411.97/x
  3. Step 3: Cross multiply
    74,402.81x = 102,676.62 × 40,411.97
  4. Step 4: Simplify right side
    74,402.81x = 4,149,364,487.14
  5. Step 5: Solve for x
    x = 4,149,364,487.14/74,402.81
  6. Step 6: Final answer
    x = 55,768.92

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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.