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Finding the Fourth Proportional to 51,663.98, 77,525.54 and 20,069.95

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Solution

The fourth proportional to 51,663.98, 77,525.54 and 20,069.95 is: 30,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,663.98 : 77,525.54 = 20,069.95 : x
  2. Step 2: Convert to fraction form
    51,663.98/77,525.54 = 20,069.95/x
  3. Step 3: Cross multiply
    51,663.98x = 77,525.54 × 20,069.95
  4. Step 4: Simplify right side
    51,663.98x = 1,555,933,711.52
  5. Step 5: Solve for x
    x = 1,555,933,711.52/51,663.98
  6. Step 6: Final answer
    x = 30,116.41

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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.