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Finding the Fourth Proportional to 32,957.25, 49,435.45 and 7,997.50

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Solution

The fourth proportional to 32,957.25, 49,435.45 and 7,997.50 is: 11,996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,957.25 : 49,435.45 = 7,997.50 : x
  2. Step 2: Convert to fraction form
    32,957.25/49,435.45 = 7,997.50/x
  3. Step 3: Cross multiply
    32,957.25x = 49,435.45 × 7,997.50
  4. Step 4: Simplify right side
    32,957.25x = 395,360,011.38
  5. Step 5: Solve for x
    x = 395,360,011.38/32,957.25
  6. Step 6: Final answer
    x = 11,996.15

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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.