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Finding the Fourth Proportional to 33,047.40, 49,566.30 and 9,671.40

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Solution

The fourth proportional to 33,047.40, 49,566.30 and 9,671.40 is: 14,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,047.40 : 49,566.30 = 9,671.40 : x
  2. Step 2: Convert to fraction form
    33,047.40/49,566.30 = 9,671.40/x
  3. Step 3: Cross multiply
    33,047.40x = 49,566.30 × 9,671.40
  4. Step 4: Simplify right side
    33,047.40x = 479,375,513.82
  5. Step 5: Solve for x
    x = 479,375,513.82/33,047.40
  6. Step 6: Final answer
    x = 14,505.70

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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.