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Finding the Fourth Proportional to 51,494.63, 71,063.66 and 29,138.63

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Solution

The fourth proportional to 51,494.63, 71,063.66 and 29,138.63 is: 40,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,494.63 : 71,063.66 = 29,138.63 : x
  2. Step 2: Convert to fraction form
    51,494.63/71,063.66 = 29,138.63/x
  3. Step 3: Cross multiply
    51,494.63x = 71,063.66 × 29,138.63
  4. Step 4: Simplify right side
    51,494.63x = 2,070,697,412.71
  5. Step 5: Solve for x
    x = 2,070,697,412.71/51,494.63
  6. Step 6: Final answer
    x = 40,211.91

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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.