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Finding the Fourth Proportional to 37,684, 56,536.08 and 13,060

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Solution

The fourth proportional to 37,684, 56,536.08 and 13,060 is: 19,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,684 : 56,536.08 = 13,060 : x
  2. Step 2: Convert to fraction form
    37,684/56,536.08 = 13,060/x
  3. Step 3: Cross multiply
    37,684x = 56,536.08 × 13,060
  4. Step 4: Simplify right side
    37,684x = 738,361,204.80
  5. Step 5: Solve for x
    x = 738,361,204.80/37,684
  6. Step 6: Final answer
    x = 19,593.49

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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.