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Finding the Fourth Proportional to 84,957.75, 127,362.81 and 49,823.60

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Solution

The fourth proportional to 84,957.75, 127,362.81 and 49,823.60 is: 74,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,957.75 : 127,362.81 = 49,823.60 : x
  2. Step 2: Convert to fraction form
    84,957.75/127,362.81 = 49,823.60/x
  3. Step 3: Cross multiply
    84,957.75x = 127,362.81 × 49,823.60
  4. Step 4: Simplify right side
    84,957.75x = 6,345,673,063.50
  5. Step 5: Solve for x
    x = 6,345,673,063.50/84,957.75
  6. Step 6: Final answer
    x = 74,692.10

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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.