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Finding the Fourth Proportional to 57,465.60, 86,163.12 and 22,364.40

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Solution

The fourth proportional to 57,465.60, 86,163.12 and 22,364.40 is: 33,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465.60 : 86,163.12 = 22,364.40 : x
  2. Step 2: Convert to fraction form
    57,465.60/86,163.12 = 22,364.40/x
  3. Step 3: Cross multiply
    57,465.60x = 86,163.12 × 22,364.40
  4. Step 4: Simplify right side
    57,465.60x = 1,926,986,480.93
  5. Step 5: Solve for x
    x = 1,926,986,480.93/57,465.60
  6. Step 6: Final answer
    x = 33,532.87

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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.