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Finding the Fourth Proportional to 51,818.54, 77,727.84 and 20,675.66

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Solution

The fourth proportional to 51,818.54, 77,727.84 and 20,675.66 is: 31,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,818.54 : 77,727.84 = 20,675.66 : x
  2. Step 2: Convert to fraction form
    51,818.54/77,727.84 = 20,675.66/x
  3. Step 3: Cross multiply
    51,818.54x = 77,727.84 × 20,675.66
  4. Step 4: Simplify right side
    51,818.54x = 1,607,074,392.37
  5. Step 5: Solve for x
    x = 1,607,074,392.37/51,818.54
  6. Step 6: Final answer
    x = 31,013.50

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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.