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Finding the Fourth Proportional to 41,749.58, 57,614.04 and 22,886.66

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Solution

The fourth proportional to 41,749.58, 57,614.04 and 22,886.66 is: 31,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,749.58 : 57,614.04 = 22,886.66 : x
  2. Step 2: Convert to fraction form
    41,749.58/57,614.04 = 22,886.66/x
  3. Step 3: Cross multiply
    41,749.58x = 57,614.04 × 22,886.66
  4. Step 4: Simplify right side
    41,749.58x = 1,318,592,944.71
  5. Step 5: Solve for x
    x = 1,318,592,944.71/41,749.58
  6. Step 6: Final answer
    x = 31,583.38

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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.