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Finding the Fourth Proportional to 30,291, 45,438.12 and 9,516.12

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Solution

The fourth proportional to 30,291, 45,438.12 and 9,516.12 is: 14,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291 : 45,438.12 = 9,516.12 : x
  2. Step 2: Convert to fraction form
    30,291/45,438.12 = 9,516.12/x
  3. Step 3: Cross multiply
    30,291x = 45,438.12 × 9,516.12
  4. Step 4: Simplify right side
    30,291x = 432,394,602.49
  5. Step 5: Solve for x
    x = 432,394,602.49/30,291
  6. Step 6: Final answer
    x = 14,274.69

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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.