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Finding the Fourth Proportional to 41,561.70, 57,341.70 and 24,566.46

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Solution

The fourth proportional to 41,561.70, 57,341.70 and 24,566.46 is: 33,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,561.70 : 57,341.70 = 24,566.46 : x
  2. Step 2: Convert to fraction form
    41,561.70/57,341.70 = 24,566.46/x
  3. Step 3: Cross multiply
    41,561.70x = 57,341.70 × 24,566.46
  4. Step 4: Simplify right side
    41,561.70x = 1,408,682,579.38
  5. Step 5: Solve for x
    x = 1,408,682,579.38/41,561.70
  6. Step 6: Final answer
    x = 33,893.77

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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.