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Finding the Fourth Proportional to 59,782.84, 89,674.26 and 18,229.48

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Solution

The fourth proportional to 59,782.84, 89,674.26 and 18,229.48 is: 27,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,782.84 : 89,674.26 = 18,229.48 : x
  2. Step 2: Convert to fraction form
    59,782.84/89,674.26 = 18,229.48/x
  3. Step 3: Cross multiply
    59,782.84x = 89,674.26 × 18,229.48
  4. Step 4: Simplify right side
    59,782.84x = 1,634,715,129.18
  5. Step 5: Solve for x
    x = 1,634,715,129.18/59,782.84
  6. Step 6: Final answer
    x = 27,344.22

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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.