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Finding the Fourth Proportional to 53,084.73, 73,287.14 and 35,203.87

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Solution

The fourth proportional to 53,084.73, 73,287.14 and 35,203.87 is: 48,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,084.73 : 73,287.14 = 35,203.87 : x
  2. Step 2: Convert to fraction form
    53,084.73/73,287.14 = 35,203.87/x
  3. Step 3: Cross multiply
    53,084.73x = 73,287.14 × 35,203.87
  4. Step 4: Simplify right side
    53,084.73x = 2,579,990,949.23
  5. Step 5: Solve for x
    x = 2,579,990,949.23/53,084.73
  6. Step 6: Final answer
    x = 48,601.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.