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Finding the Fourth Proportional to 51,486.76, 71,054.90 and 29,976.94

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Solution

The fourth proportional to 51,486.76, 71,054.90 and 29,976.94 is: 41,370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,486.76 : 71,054.90 = 29,976.94 : x
  2. Step 2: Convert to fraction form
    51,486.76/71,054.90 = 29,976.94/x
  3. Step 3: Cross multiply
    51,486.76x = 71,054.90 × 29,976.94
  4. Step 4: Simplify right side
    51,486.76x = 2,130,008,474.01
  5. Step 5: Solve for x
    x = 2,130,008,474.01/51,486.76
  6. Step 6: Final answer
    x = 41,370.02

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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.