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Finding the Fourth Proportional to 31,041.91, 46,563.32 and 8,855.29

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Solution

The fourth proportional to 31,041.91, 46,563.32 and 8,855.29 is: 13,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,041.91 : 46,563.32 = 8,855.29 : x
  2. Step 2: Convert to fraction form
    31,041.91/46,563.32 = 8,855.29/x
  3. Step 3: Cross multiply
    31,041.91x = 46,563.32 × 8,855.29
  4. Step 4: Simplify right side
    31,041.91x = 412,331,701.96
  5. Step 5: Solve for x
    x = 412,331,701.96/31,041.91
  6. Step 6: Final answer
    x = 13,283.06

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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.