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Finding the Fourth Proportional to 31,807.13, 43,895.07 and 17,662.64

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Solution

The fourth proportional to 31,807.13, 43,895.07 and 17,662.64 is: 24,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.13 : 43,895.07 = 17,662.64 : x
  2. Step 2: Convert to fraction form
    31,807.13/43,895.07 = 17,662.64/x
  3. Step 3: Cross multiply
    31,807.13x = 43,895.07 × 17,662.64
  4. Step 4: Simplify right side
    31,807.13x = 775,302,730.87
  5. Step 5: Solve for x
    x = 775,302,730.87/31,807.13
  6. Step 6: Final answer
    x = 24,375.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.