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Finding the Fourth Proportional to 57,783.94, 86,556.52 and 34,018.26

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Solution

The fourth proportional to 57,783.94, 86,556.52 and 34,018.26 is: 50,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,783.94 : 86,556.52 = 34,018.26 : x
  2. Step 2: Convert to fraction form
    57,783.94/86,556.52 = 34,018.26/x
  3. Step 3: Cross multiply
    57,783.94x = 86,556.52 × 34,018.26
  4. Step 4: Simplify right side
    57,783.94x = 2,944,502,202.06
  5. Step 5: Solve for x
    x = 2,944,502,202.06/57,783.94
  6. Step 6: Final answer
    x = 50,957.10

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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.