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Finding the Fourth Proportional to 34,031.38, 46,964.12 and 18,924.68

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Solution

The fourth proportional to 34,031.38, 46,964.12 and 18,924.68 is: 26,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,031.38 : 46,964.12 = 18,924.68 : x
  2. Step 2: Convert to fraction form
    34,031.38/46,964.12 = 18,924.68/x
  3. Step 3: Cross multiply
    34,031.38x = 46,964.12 × 18,924.68
  4. Step 4: Simplify right side
    34,031.38x = 888,780,942.48
  5. Step 5: Solve for x
    x = 888,780,942.48/34,031.38
  6. Step 6: Final answer
    x = 26,116.51

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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.