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Finding the Fourth Proportional to 31,742.34, 43,803.48 and 17,401.87

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Solution

The fourth proportional to 31,742.34, 43,803.48 and 17,401.87 is: 24,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,742.34 : 43,803.48 = 17,401.87 : x
  2. Step 2: Convert to fraction form
    31,742.34/43,803.48 = 17,401.87/x
  3. Step 3: Cross multiply
    31,742.34x = 43,803.48 × 17,401.87
  4. Step 4: Simplify right side
    31,742.34x = 762,262,464.51
  5. Step 5: Solve for x
    x = 762,262,464.51/31,742.34
  6. Step 6: Final answer
    x = 24,014.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.