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Finding the Fourth Proportional to 57,957.84, 86,781.02 and 36,783.24

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Solution

The fourth proportional to 57,957.84, 86,781.02 and 36,783.24 is: 55,076.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,957.84 : 86,781.02 = 36,783.24 : x
  2. Step 2: Convert to fraction form
    57,957.84/86,781.02 = 36,783.24/x
  3. Step 3: Cross multiply
    57,957.84x = 86,781.02 × 36,783.24
  4. Step 4: Simplify right side
    57,957.84x = 3,192,087,086.10
  5. Step 5: Solve for x
    x = 3,192,087,086.10/57,957.84
  6. Step 6: Final answer
    x = 55,076.02

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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.