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Finding the Fourth Proportional to 30,234.32, 45,339.82 and 9,966.21

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Solution

The fourth proportional to 30,234.32, 45,339.82 and 9,966.21 is: 14,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.32 : 45,339.82 = 9,966.21 : x
  2. Step 2: Convert to fraction form
    30,234.32/45,339.82 = 9,966.21/x
  3. Step 3: Cross multiply
    30,234.32x = 45,339.82 × 9,966.21
  4. Step 4: Simplify right side
    30,234.32x = 451,866,251.40
  5. Step 5: Solve for x
    x = 451,866,251.40/30,234.32
  6. Step 6: Final answer
    x = 14,945.47

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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.