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Finding the Fourth Proportional to 36,532.80, 54,712.80 and 24,782.40

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Solution

The fourth proportional to 36,532.80, 54,712.80 and 24,782.40 is: 37,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,532.80 : 54,712.80 = 24,782.40 : x
  2. Step 2: Convert to fraction form
    36,532.80/54,712.80 = 24,782.40/x
  3. Step 3: Cross multiply
    36,532.80x = 54,712.80 × 24,782.40
  4. Step 4: Simplify right side
    36,532.80x = 1,355,914,494.72
  5. Step 5: Solve for x
    x = 1,355,914,494.72/36,532.80
  6. Step 6: Final answer
    x = 37,114.99

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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.