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Finding the Fourth Proportional to 33,000.10, 49,500.15 and 9,307.60

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Solution

The fourth proportional to 33,000.10, 49,500.15 and 9,307.60 is: 13,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,000.10 : 49,500.15 = 9,307.60 : x
  2. Step 2: Convert to fraction form
    33,000.10/49,500.15 = 9,307.60/x
  3. Step 3: Cross multiply
    33,000.10x = 49,500.15 × 9,307.60
  4. Step 4: Simplify right side
    33,000.10x = 460,727,596.14
  5. Step 5: Solve for x
    x = 460,727,596.14/33,000.10
  6. Step 6: Final answer
    x = 13,961.40

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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.