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Finding the Fourth Proportional to 51,257.01, 70,733.07 and 30,050.40

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Solution

The fourth proportional to 51,257.01, 70,733.07 and 30,050.40 is: 41,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,257.01 : 70,733.07 = 30,050.40 : x
  2. Step 2: Convert to fraction form
    51,257.01/70,733.07 = 30,050.40/x
  3. Step 3: Cross multiply
    51,257.01x = 70,733.07 × 30,050.40
  4. Step 4: Simplify right side
    51,257.01x = 2,125,557,046.73
  5. Step 5: Solve for x
    x = 2,125,557,046.73/51,257.01
  6. Step 6: Final answer
    x = 41,468.61

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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.