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Finding the Fourth Proportional to 36,400.55, 50,106.44 and 31,381.38

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Solution

The fourth proportional to 36,400.55, 50,106.44 and 31,381.38 is: 43,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,400.55 : 50,106.44 = 31,381.38 : x
  2. Step 2: Convert to fraction form
    36,400.55/50,106.44 = 31,381.38/x
  3. Step 3: Cross multiply
    36,400.55x = 50,106.44 × 31,381.38
  4. Step 4: Simplify right side
    36,400.55x = 1,572,409,077.18
  5. Step 5: Solve for x
    x = 1,572,409,077.18/36,400.55
  6. Step 6: Final answer
    x = 43,197.40

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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.