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Finding the Fourth Proportional to 36,762.56, 55,121.60 and 14,578.88

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Solution

The fourth proportional to 36,762.56, 55,121.60 and 14,578.88 is: 21,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,762.56 : 55,121.60 = 14,578.88 : x
  2. Step 2: Convert to fraction form
    36,762.56/55,121.60 = 14,578.88/x
  3. Step 3: Cross multiply
    36,762.56x = 55,121.60 × 14,578.88
  4. Step 4: Simplify right side
    36,762.56x = 803,611,191.81
  5. Step 5: Solve for x
    x = 803,611,191.81/36,762.56
  6. Step 6: Final answer
    x = 21,859.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.