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Finding the Fourth Proportional to 51,098.39, 70,519.09 and 28,437.31

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Solution

The fourth proportional to 51,098.39, 70,519.09 and 28,437.31 is: 39,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,098.39 : 70,519.09 = 28,437.31 : x
  2. Step 2: Convert to fraction form
    51,098.39/70,519.09 = 28,437.31/x
  3. Step 3: Cross multiply
    51,098.39x = 70,519.09 × 28,437.31
  4. Step 4: Simplify right side
    51,098.39x = 2,005,373,293.62
  5. Step 5: Solve for x
    x = 2,005,373,293.62/51,098.39
  6. Step 6: Final answer
    x = 39,245.34

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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.