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Finding the Fourth Proportional to 36,461.15, 50,320.45 and 23,031.75

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Solution

The fourth proportional to 36,461.15, 50,320.45 and 23,031.75 is: 31,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,461.15 : 50,320.45 = 23,031.75 : x
  2. Step 2: Convert to fraction form
    36,461.15/50,320.45 = 23,031.75/x
  3. Step 3: Cross multiply
    36,461.15x = 50,320.45 × 23,031.75
  4. Step 4: Simplify right side
    36,461.15x = 1,158,968,034.93
  5. Step 5: Solve for x
    x = 1,158,968,034.93/36,461.15
  6. Step 6: Final answer
    x = 31,786.38

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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.