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Finding the Fourth Proportional to 32,957.75, 49,436.21 and 7,998

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Solution

The fourth proportional to 32,957.75, 49,436.21 and 7,998 is: 11,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,957.75 : 49,436.21 = 7,998 : x
  2. Step 2: Convert to fraction form
    32,957.75/49,436.21 = 7,998/x
  3. Step 3: Cross multiply
    32,957.75x = 49,436.21 × 7,998
  4. Step 4: Simplify right side
    32,957.75x = 395,390,767.59
  5. Step 5: Solve for x
    x = 395,390,767.59/32,957.75
  6. Step 6: Final answer
    x = 11,996.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.