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Finding the Fourth Proportional to 30,414.42, 45,624.33 and 10,693.14

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Solution

The fourth proportional to 30,414.42, 45,624.33 and 10,693.14 is: 16,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.42 : 45,624.33 = 10,693.14 : x
  2. Step 2: Convert to fraction form
    30,414.42/45,624.33 = 10,693.14/x
  3. Step 3: Cross multiply
    30,414.42x = 45,624.33 × 10,693.14
  4. Step 4: Simplify right side
    30,414.42x = 487,867,348.10
  5. Step 5: Solve for x
    x = 487,867,348.10/30,414.42
  6. Step 6: Final answer
    x = 16,040.66

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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.