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Finding the Fourth Proportional to 51,927.39, 77,891.05 and 12,484.49

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Solution

The fourth proportional to 51,927.39, 77,891.05 and 12,484.49 is: 18,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,927.39 : 77,891.05 = 12,484.49 : x
  2. Step 2: Convert to fraction form
    51,927.39/77,891.05 = 12,484.49/x
  3. Step 3: Cross multiply
    51,927.39x = 77,891.05 × 12,484.49
  4. Step 4: Simplify right side
    51,927.39x = 972,430,034.81
  5. Step 5: Solve for x
    x = 972,430,034.81/51,927.39
  6. Step 6: Final answer
    x = 18,726.73

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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.