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Finding the Fourth Proportional to 31,784.54, 43,863.22 and 17,445.71

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Solution

The fourth proportional to 31,784.54, 43,863.22 and 17,445.71 is: 24,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784.54 : 43,863.22 = 17,445.71 : x
  2. Step 2: Convert to fraction form
    31,784.54/43,863.22 = 17,445.71/x
  3. Step 3: Cross multiply
    31,784.54x = 43,863.22 × 17,445.71
  4. Step 4: Simplify right side
    31,784.54x = 765,225,004.88
  5. Step 5: Solve for x
    x = 765,225,004.88/31,784.54
  6. Step 6: Final answer
    x = 24,075.39

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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.