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Finding the Fourth Proportional to 74,142.33, 102,316.26 and 40,150.81

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Solution

The fourth proportional to 74,142.33, 102,316.26 and 40,150.81 is: 55,408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,142.33 : 102,316.26 = 40,150.81 : x
  2. Step 2: Convert to fraction form
    74,142.33/102,316.26 = 40,150.81/x
  3. Step 3: Cross multiply
    74,142.33x = 102,316.26 × 40,150.81
  4. Step 4: Simplify right side
    74,142.33x = 4,108,080,459.38
  5. Step 5: Solve for x
    x = 4,108,080,459.38/74,142.33
  6. Step 6: Final answer
    x = 55,408.03

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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.