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Finding the Fourth Proportional to 41,672.64, 57,509.19 and 22,809.81

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Solution

The fourth proportional to 41,672.64, 57,509.19 and 22,809.81 is: 31,478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,672.64 : 57,509.19 = 22,809.81 : x
  2. Step 2: Convert to fraction form
    41,672.64/57,509.19 = 22,809.81/x
  3. Step 3: Cross multiply
    41,672.64x = 57,509.19 × 22,809.81
  4. Step 4: Simplify right side
    41,672.64x = 1,311,773,697.15
  5. Step 5: Solve for x
    x = 1,311,773,697.15/41,672.64
  6. Step 6: Final answer
    x = 31,478.06

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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.