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Finding the Fourth Proportional to 75,377.80, 113,091.27 and 37,918.54

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Solution

The fourth proportional to 75,377.80, 113,091.27 and 37,918.54 is: 56,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,377.80 : 113,091.27 = 37,918.54 : x
  2. Step 2: Convert to fraction form
    75,377.80/113,091.27 = 37,918.54/x
  3. Step 3: Cross multiply
    75,377.80x = 113,091.27 × 37,918.54
  4. Step 4: Simplify right side
    75,377.80x = 4,288,255,090.10
  5. Step 5: Solve for x
    x = 4,288,255,090.10/75,377.80
  6. Step 6: Final answer
    x = 56,890.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.