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Finding the Fourth Proportional to 41,796, 57,678.48 and 25,038.72

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Solution

The fourth proportional to 41,796, 57,678.48 and 25,038.72 is: 34,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,796 : 57,678.48 = 25,038.72 : x
  2. Step 2: Convert to fraction form
    41,796/57,678.48 = 25,038.72/x
  3. Step 3: Cross multiply
    41,796x = 57,678.48 × 25,038.72
  4. Step 4: Simplify right side
    41,796x = 1,444,195,310.75
  5. Step 5: Solve for x
    x = 1,444,195,310.75/41,796
  6. Step 6: Final answer
    x = 34,553.43

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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.