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Finding the Fourth Proportional to 30,305.72, 45,461.18 and 9,250.50

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Solution

The fourth proportional to 30,305.72, 45,461.18 and 9,250.50 is: 13,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,305.72 : 45,461.18 = 9,250.50 : x
  2. Step 2: Convert to fraction form
    30,305.72/45,461.18 = 9,250.50/x
  3. Step 3: Cross multiply
    30,305.72x = 45,461.18 × 9,250.50
  4. Step 4: Simplify right side
    30,305.72x = 420,538,599.34
  5. Step 5: Solve for x
    x = 420,538,599.34/30,305.72
  6. Step 6: Final answer
    x = 13,876.54

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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.