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Finding the Fourth Proportional to 30,252.88, 45,379.32 and 9,478

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Solution

The fourth proportional to 30,252.88, 45,379.32 and 9,478 is: 14,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,252.88 : 45,379.32 = 9,478 : x
  2. Step 2: Convert to fraction form
    30,252.88/45,379.32 = 9,478/x
  3. Step 3: Cross multiply
    30,252.88x = 45,379.32 × 9,478
  4. Step 4: Simplify right side
    30,252.88x = 430,105,194.96
  5. Step 5: Solve for x
    x = 430,105,194.96/30,252.88
  6. Step 6: Final answer
    x = 14,217.00

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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.