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Finding the Fourth Proportional to 51,886.26, 77,901.48 and 36,054

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Solution

The fourth proportional to 51,886.26, 77,901.48 and 36,054 is: 54,131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,886.26 : 77,901.48 = 36,054 : x
  2. Step 2: Convert to fraction form
    51,886.26/77,901.48 = 36,054/x
  3. Step 3: Cross multiply
    51,886.26x = 77,901.48 × 36,054
  4. Step 4: Simplify right side
    51,886.26x = 2,808,659,959.92
  5. Step 5: Solve for x
    x = 2,808,659,959.92/51,886.26
  6. Step 6: Final answer
    x = 54,131.09

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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.