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Finding the Fourth Proportional to 30,528.12, 45,793.98 and 9,750

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Solution

The fourth proportional to 30,528.12, 45,793.98 and 9,750 is: 14,625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,528.12 : 45,793.98 = 9,750 : x
  2. Step 2: Convert to fraction form
    30,528.12/45,793.98 = 9,750/x
  3. Step 3: Cross multiply
    30,528.12x = 45,793.98 × 9,750
  4. Step 4: Simplify right side
    30,528.12x = 446,491,305.00
  5. Step 5: Solve for x
    x = 446,491,305.00/30,528.12
  6. Step 6: Final answer
    x = 14,625.57

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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.