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Finding the Fourth Proportional to 37,754.66, 56,632.17 and 11,459.63

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Solution

The fourth proportional to 37,754.66, 56,632.17 and 11,459.63 is: 17,189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,754.66 : 56,632.17 = 11,459.63 : x
  2. Step 2: Convert to fraction form
    37,754.66/56,632.17 = 11,459.63/x
  3. Step 3: Cross multiply
    37,754.66x = 56,632.17 × 11,459.63
  4. Step 4: Simplify right side
    37,754.66x = 648,983,431.14
  5. Step 5: Solve for x
    x = 648,983,431.14/37,754.66
  6. Step 6: Final answer
    x = 17,189.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.