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Finding the Fourth Proportional to 57,536.30, 86,193.88 and 35,284.79

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Solution

The fourth proportional to 57,536.30, 86,193.88 and 35,284.79 is: 52,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,536.30 : 86,193.88 = 35,284.79 : x
  2. Step 2: Convert to fraction form
    57,536.30/86,193.88 = 35,284.79/x
  3. Step 3: Cross multiply
    57,536.30x = 86,193.88 × 35,284.79
  4. Step 4: Simplify right side
    57,536.30x = 3,041,332,955.09
  5. Step 5: Solve for x
    x = 3,041,332,955.09/57,536.30
  6. Step 6: Final answer
    x = 52,859.38

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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.