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Finding the Fourth Proportional to 31,757.28, 47,637.72 and 9,573.72

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Solution

The fourth proportional to 31,757.28, 47,637.72 and 9,573.72 is: 14,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.28 : 47,637.72 = 9,573.72 : x
  2. Step 2: Convert to fraction form
    31,757.28/47,637.72 = 9,573.72/x
  3. Step 3: Cross multiply
    31,757.28x = 47,637.72 × 9,573.72
  4. Step 4: Simplify right side
    31,757.28x = 456,070,192.72
  5. Step 5: Solve for x
    x = 456,070,192.72/31,757.28
  6. Step 6: Final answer
    x = 14,361.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.