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Finding the Fourth Proportional to 30,742.72, 42,424.22 and 17,314.02

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Solution

The fourth proportional to 30,742.72, 42,424.22 and 17,314.02 is: 23,892.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.72 : 42,424.22 = 17,314.02 : x
  2. Step 2: Convert to fraction form
    30,742.72/42,424.22 = 17,314.02/x
  3. Step 3: Cross multiply
    30,742.72x = 42,424.22 × 17,314.02
  4. Step 4: Simplify right side
    30,742.72x = 734,533,836.85
  5. Step 5: Solve for x
    x = 734,533,836.85/30,742.72
  6. Step 6: Final answer
    x = 23,892.94

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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.