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Finding the Fourth Proportional to 31,779.57, 43,857.27 and 17,631.57

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Solution

The fourth proportional to 31,779.57, 43,857.27 and 17,631.57 is: 24,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.57 : 43,857.27 = 17,631.57 : x
  2. Step 2: Convert to fraction form
    31,779.57/43,857.27 = 17,631.57/x
  3. Step 3: Cross multiply
    31,779.57x = 43,857.27 × 17,631.57
  4. Step 4: Simplify right side
    31,779.57x = 773,272,526.01
  5. Step 5: Solve for x
    x = 773,272,526.01/31,779.57
  6. Step 6: Final answer
    x = 24,332.38

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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.