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Finding the Fourth Proportional to 36,536.40, 50,407.92 and 23,783.76

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Solution

The fourth proportional to 36,536.40, 50,407.92 and 23,783.76 is: 32,813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,536.40 : 50,407.92 = 23,783.76 : x
  2. Step 2: Convert to fraction form
    36,536.40/50,407.92 = 23,783.76/x
  3. Step 3: Cross multiply
    36,536.40x = 50,407.92 × 23,783.76
  4. Step 4: Simplify right side
    36,536.40x = 1,198,889,871.38
  5. Step 5: Solve for x
    x = 1,198,889,871.38/36,536.40
  6. Step 6: Final answer
    x = 32,813.57

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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.