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Finding the Fourth Proportional to 30,538.70, 45,814.59 and 9,478.30

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Solution

The fourth proportional to 30,538.70, 45,814.59 and 9,478.30 is: 14,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.70 : 45,814.59 = 9,478.30 : x
  2. Step 2: Convert to fraction form
    30,538.70/45,814.59 = 9,478.30/x
  3. Step 3: Cross multiply
    30,538.70x = 45,814.59 × 9,478.30
  4. Step 4: Simplify right side
    30,538.70x = 434,244,428.40
  5. Step 5: Solve for x
    x = 434,244,428.40/30,538.70
  6. Step 6: Final answer
    x = 14,219.48

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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.