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Finding the Fourth Proportional to 51,674.42, 71,308.39 and 29,013

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Solution

The fourth proportional to 51,674.42, 71,308.39 and 29,013 is: 40,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,674.42 : 71,308.39 = 29,013 : x
  2. Step 2: Convert to fraction form
    51,674.42/71,308.39 = 29,013/x
  3. Step 3: Cross multiply
    51,674.42x = 71,308.39 × 29,013
  4. Step 4: Simplify right side
    51,674.42x = 2,068,870,319.07
  5. Step 5: Solve for x
    x = 2,068,870,319.07/51,674.42
  6. Step 6: Final answer
    x = 40,036.64

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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.