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Finding the Fourth Proportional to 31,907.88, 44,032.56 and 17,760.42

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Solution

The fourth proportional to 31,907.88, 44,032.56 and 17,760.42 is: 24,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.88 : 44,032.56 = 17,760.42 : x
  2. Step 2: Convert to fraction form
    31,907.88/44,032.56 = 17,760.42/x
  3. Step 3: Cross multiply
    31,907.88x = 44,032.56 × 17,760.42
  4. Step 4: Simplify right side
    31,907.88x = 782,036,759.28
  5. Step 5: Solve for x
    x = 782,036,759.28/31,907.88
  6. Step 6: Final answer
    x = 24,509.20

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