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Finding the Fourth Proportional to 37,662.41, 56,424.76 and 17,635.16

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Solution

The fourth proportional to 37,662.41, 56,424.76 and 17,635.16 is: 26,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,662.41 : 56,424.76 = 17,635.16 : x
  2. Step 2: Convert to fraction form
    37,662.41/56,424.76 = 17,635.16/x
  3. Step 3: Cross multiply
    37,662.41x = 56,424.76 × 17,635.16
  4. Step 4: Simplify right side
    37,662.41x = 995,059,670.56
  5. Step 5: Solve for x
    x = 995,059,670.56/37,662.41
  6. Step 6: Final answer
    x = 26,420.50

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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.