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Finding the Fourth Proportional to 30,846.27, 46,265.92 and 8,660.50

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Solution

The fourth proportional to 30,846.27, 46,265.92 and 8,660.50 is: 12,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.27 : 46,265.92 = 8,660.50 : x
  2. Step 2: Convert to fraction form
    30,846.27/46,265.92 = 8,660.50/x
  3. Step 3: Cross multiply
    30,846.27x = 46,265.92 × 8,660.50
  4. Step 4: Simplify right side
    30,846.27x = 400,686,000.16
  5. Step 5: Solve for x
    x = 400,686,000.16/30,846.27
  6. Step 6: Final answer
    x = 12,989.77

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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.