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Finding the Fourth Proportional to 30,748.68, 42,431.04 and 18,171

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Solution

The fourth proportional to 30,748.68, 42,431.04 and 18,171 is: 25,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,748.68 : 42,431.04 = 18,171 : x
  2. Step 2: Convert to fraction form
    30,748.68/42,431.04 = 18,171/x
  3. Step 3: Cross multiply
    30,748.68x = 42,431.04 × 18,171
  4. Step 4: Simplify right side
    30,748.68x = 771,014,427.84
  5. Step 5: Solve for x
    x = 771,014,427.84/30,748.68
  6. Step 6: Final answer
    x = 25,074.72

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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.