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Finding the Fourth Proportional to 30,276.92, 45,423.08 and 9,500.60

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Solution

The fourth proportional to 30,276.92, 45,423.08 and 9,500.60 is: 14,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276.92 : 45,423.08 = 9,500.60 : x
  2. Step 2: Convert to fraction form
    30,276.92/45,423.08 = 9,500.60/x
  3. Step 3: Cross multiply
    30,276.92x = 45,423.08 × 9,500.60
  4. Step 4: Simplify right side
    30,276.92x = 431,546,513.85
  5. Step 5: Solve for x
    x = 431,546,513.85/30,276.92
  6. Step 6: Final answer
    x = 14,253.32

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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.