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Finding the Fourth Proportional to 31,907.16, 44,034.48 and 17,760.24

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Solution

The fourth proportional to 31,907.16, 44,034.48 and 17,760.24 is: 24,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.16 : 44,034.48 = 17,760.24 : x
  2. Step 2: Convert to fraction form
    31,907.16/44,034.48 = 17,760.24/x
  3. Step 3: Cross multiply
    31,907.16x = 44,034.48 × 17,760.24
  4. Step 4: Simplify right side
    31,907.16x = 782,062,933.08
  5. Step 5: Solve for x
    x = 782,062,933.08/31,907.16
  6. Step 6: Final answer
    x = 24,510.58

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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.