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Finding the Fourth Proportional to 57,582.45, 86,178.60 and 35,409.87

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Solution

The fourth proportional to 57,582.45, 86,178.60 and 35,409.87 is: 52,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,582.45 : 86,178.60 = 35,409.87 : x
  2. Step 2: Convert to fraction form
    57,582.45/86,178.60 = 35,409.87/x
  3. Step 3: Cross multiply
    57,582.45x = 86,178.60 × 35,409.87
  4. Step 4: Simplify right side
    57,582.45x = 3,051,573,022.78
  5. Step 5: Solve for x
    x = 3,051,573,022.78/57,582.45
  6. Step 6: Final answer
    x = 52,994.85

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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.