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Finding the Fourth Proportional to 51,129.40, 76,694.10 and 38,007.40

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Solution

The fourth proportional to 51,129.40, 76,694.10 and 38,007.40 is: 57,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,129.40 : 76,694.10 = 38,007.40 : x
  2. Step 2: Convert to fraction form
    51,129.40/76,694.10 = 38,007.40/x
  3. Step 3: Cross multiply
    51,129.40x = 76,694.10 × 38,007.40
  4. Step 4: Simplify right side
    51,129.40x = 2,914,943,336.34
  5. Step 5: Solve for x
    x = 2,914,943,336.34/51,129.40
  6. Step 6: Final answer
    x = 57,011.10

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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.