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Finding the Fourth Proportional to 57,582.83, 86,179.16 and 35,410.25

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Solution

The fourth proportional to 57,582.83, 86,179.16 and 35,410.25 is: 52,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,582.83 : 86,179.16 = 35,410.25 : x
  2. Step 2: Convert to fraction form
    57,582.83/86,179.16 = 35,410.25/x
  3. Step 3: Cross multiply
    57,582.83x = 86,179.16 × 35,410.25
  4. Step 4: Simplify right side
    57,582.83x = 3,051,624,992.44
  5. Step 5: Solve for x
    x = 3,051,624,992.44/57,582.83
  6. Step 6: Final answer
    x = 52,995.40

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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.