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Finding the Fourth Proportional to 31,931.12, 44,057.04 and 17,780.42

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Solution

The fourth proportional to 31,931.12, 44,057.04 and 17,780.42 is: 24,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,931.12 : 44,057.04 = 17,780.42 : x
  2. Step 2: Convert to fraction form
    31,931.12/44,057.04 = 17,780.42/x
  3. Step 3: Cross multiply
    31,931.12x = 44,057.04 × 17,780.42
  4. Step 4: Simplify right side
    31,931.12x = 783,352,675.16
  5. Step 5: Solve for x
    x = 783,352,675.16/31,931.12
  6. Step 6: Final answer
    x = 24,532.58

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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.