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Finding the Fourth Proportional to 37,148.80, 55,723.20 and 16,412.80

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Solution

The fourth proportional to 37,148.80, 55,723.20 and 16,412.80 is: 24,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,148.80 : 55,723.20 = 16,412.80 : x
  2. Step 2: Convert to fraction form
    37,148.80/55,723.20 = 16,412.80/x
  3. Step 3: Cross multiply
    37,148.80x = 55,723.20 × 16,412.80
  4. Step 4: Simplify right side
    37,148.80x = 914,573,736.96
  5. Step 5: Solve for x
    x = 914,573,736.96/37,148.80
  6. Step 6: Final answer
    x = 24,619.20

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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.