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Finding the Fourth Proportional to 36,731.76, 50,689.58 and 19,964.76

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Solution

The fourth proportional to 36,731.76, 50,689.58 and 19,964.76 is: 27,551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,731.76 : 50,689.58 = 19,964.76 : x
  2. Step 2: Convert to fraction form
    36,731.76/50,689.58 = 19,964.76/x
  3. Step 3: Cross multiply
    36,731.76x = 50,689.58 × 19,964.76
  4. Step 4: Simplify right side
    36,731.76x = 1,012,005,199.38
  5. Step 5: Solve for x
    x = 1,012,005,199.38/36,731.76
  6. Step 6: Final answer
    x = 27,551.23

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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.