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Finding the Fourth Proportional to 74,676.54, 103,053.56 and 41,142.54

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Solution

The fourth proportional to 74,676.54, 103,053.56 and 41,142.54 is: 56,776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,676.54 : 103,053.56 = 41,142.54 : x
  2. Step 2: Convert to fraction form
    74,676.54/103,053.56 = 41,142.54/x
  3. Step 3: Cross multiply
    74,676.54x = 103,053.56 × 41,142.54
  4. Step 4: Simplify right side
    74,676.54x = 4,239,884,802.03
  5. Step 5: Solve for x
    x = 4,239,884,802.03/74,676.54
  6. Step 6: Final answer
    x = 56,776.67

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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.