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Finding the Fourth Proportional to 30,476.34, 45,711.27 and 9,698.22

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Solution

The fourth proportional to 30,476.34, 45,711.27 and 9,698.22 is: 14,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.34 : 45,711.27 = 9,698.22 : x
  2. Step 2: Convert to fraction form
    30,476.34/45,711.27 = 9,698.22/x
  3. Step 3: Cross multiply
    30,476.34x = 45,711.27 × 9,698.22
  4. Step 4: Simplify right side
    30,476.34x = 443,317,952.94
  5. Step 5: Solve for x
    x = 443,317,952.94/30,476.34
  6. Step 6: Final answer
    x = 14,546.30

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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.