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Finding the Fourth Proportional to 41,415.32, 57,140.70 and 37,423.64

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Solution

The fourth proportional to 41,415.32, 57,140.70 and 37,423.64 is: 51,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,415.32 : 57,140.70 = 37,423.64 : x
  2. Step 2: Convert to fraction form
    41,415.32/57,140.70 = 37,423.64/x
  3. Step 3: Cross multiply
    41,415.32x = 57,140.70 × 37,423.64
  4. Step 4: Simplify right side
    41,415.32x = 2,138,412,986.15
  5. Step 5: Solve for x
    x = 2,138,412,986.15/41,415.32
  6. Step 6: Final answer
    x = 51,633.38

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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.