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Finding the Fourth Proportional to 31,779.47, 43,851.08 and 20,464.31

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Solution

The fourth proportional to 31,779.47, 43,851.08 and 20,464.31 is: 28,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.47 : 43,851.08 = 20,464.31 : x
  2. Step 2: Convert to fraction form
    31,779.47/43,851.08 = 20,464.31/x
  3. Step 3: Cross multiply
    31,779.47x = 43,851.08 × 20,464.31
  4. Step 4: Simplify right side
    31,779.47x = 897,381,773.38
  5. Step 5: Solve for x
    x = 897,381,773.38/31,779.47
  6. Step 6: Final answer
    x = 28,237.79

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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.