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Finding the Fourth Proportional to 61,744.32, 85,168.80 and 36,576

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Solution

The fourth proportional to 61,744.32, 85,168.80 and 36,576 is: 50,452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,744.32 : 85,168.80 = 36,576 : x
  2. Step 2: Convert to fraction form
    61,744.32/85,168.80 = 36,576/x
  3. Step 3: Cross multiply
    61,744.32x = 85,168.80 × 36,576
  4. Step 4: Simplify right side
    61,744.32x = 3,115,134,028.80
  5. Step 5: Solve for x
    x = 3,115,134,028.80/61,744.32
  6. Step 6: Final answer
    x = 50,452.16

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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.