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Finding the Fourth Proportional to 31,193.64, 46,822.86 and 18,071.64

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Solution

The fourth proportional to 31,193.64, 46,822.86 and 18,071.64 is: 27,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,193.64 : 46,822.86 = 18,071.64 : x
  2. Step 2: Convert to fraction form
    31,193.64/46,822.86 = 18,071.64/x
  3. Step 3: Cross multiply
    31,193.64x = 46,822.86 × 18,071.64
  4. Step 4: Simplify right side
    31,193.64x = 846,165,869.69
  5. Step 5: Solve for x
    x = 846,165,869.69/31,193.64
  6. Step 6: Final answer
    x = 27,126.23

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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.