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Finding the Fourth Proportional to 51,583.80, 77,350.17 and 18,298.88

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Solution

The fourth proportional to 51,583.80, 77,350.17 and 18,298.88 is: 27,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,583.80 : 77,350.17 = 18,298.88 : x
  2. Step 2: Convert to fraction form
    51,583.80/77,350.17 = 18,298.88/x
  3. Step 3: Cross multiply
    51,583.80x = 77,350.17 × 18,298.88
  4. Step 4: Simplify right side
    51,583.80x = 1,415,421,450.74
  5. Step 5: Solve for x
    x = 1,415,421,450.74/51,583.80
  6. Step 6: Final answer
    x = 27,439.26

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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.