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Finding the Fourth Proportional to 30,464.46, 42,034.14 and 17,713.44

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Solution

The fourth proportional to 30,464.46, 42,034.14 and 17,713.44 is: 24,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464.46 : 42,034.14 = 17,713.44 : x
  2. Step 2: Convert to fraction form
    30,464.46/42,034.14 = 17,713.44/x
  3. Step 3: Cross multiply
    30,464.46x = 42,034.14 × 17,713.44
  4. Step 4: Simplify right side
    30,464.46x = 744,569,216.84
  5. Step 5: Solve for x
    x = 744,569,216.84/30,464.46
  6. Step 6: Final answer
    x = 24,440.58

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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.