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Finding the Fourth Proportional to 30,471.20, 45,689.82 and 9,405.26

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Solution

The fourth proportional to 30,471.20, 45,689.82 and 9,405.26 is: 14,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.20 : 45,689.82 = 9,405.26 : x
  2. Step 2: Convert to fraction form
    30,471.20/45,689.82 = 9,405.26/x
  3. Step 3: Cross multiply
    30,471.20x = 45,689.82 × 9,405.26
  4. Step 4: Simplify right side
    30,471.20x = 429,724,636.45
  5. Step 5: Solve for x
    x = 429,724,636.45/30,471.20
  6. Step 6: Final answer
    x = 14,102.65

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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.