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Finding the Fourth Proportional to 30,478.28, 45,717.11 and 8,291.46

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Solution

The fourth proportional to 30,478.28, 45,717.11 and 8,291.46 is: 12,437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.28 : 45,717.11 = 8,291.46 : x
  2. Step 2: Convert to fraction form
    30,478.28/45,717.11 = 8,291.46/x
  3. Step 3: Cross multiply
    30,478.28x = 45,717.11 × 8,291.46
  4. Step 4: Simplify right side
    30,478.28x = 379,061,749.96
  5. Step 5: Solve for x
    x = 379,061,749.96/30,478.28
  6. Step 6: Final answer
    x = 12,437.11

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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.