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Finding the Fourth Proportional to 30,583.27, 45,866.60 and 8,391.40

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Solution

The fourth proportional to 30,583.27, 45,866.60 and 8,391.40 is: 12,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,583.27 : 45,866.60 = 8,391.40 : x
  2. Step 2: Convert to fraction form
    30,583.27/45,866.60 = 8,391.40/x
  3. Step 3: Cross multiply
    30,583.27x = 45,866.60 × 8,391.40
  4. Step 4: Simplify right side
    30,583.27x = 384,884,987.24
  5. Step 5: Solve for x
    x = 384,884,987.24/30,583.27
  6. Step 6: Final answer
    x = 12,584.82

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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.