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Finding the Fourth Proportional to 33,114.30, 49,654.35 and 9,737.70

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Solution

The fourth proportional to 33,114.30, 49,654.35 and 9,737.70 is: 14,601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.30 : 49,654.35 = 9,737.70 : x
  2. Step 2: Convert to fraction form
    33,114.30/49,654.35 = 9,737.70/x
  3. Step 3: Cross multiply
    33,114.30x = 49,654.35 × 9,737.70
  4. Step 4: Simplify right side
    33,114.30x = 483,519,164.00
  5. Step 5: Solve for x
    x = 483,519,164.00/33,114.30
  6. Step 6: Final answer
    x = 14,601.52

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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.