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Finding the Fourth Proportional to 31,510.56, 47,274.04 and 11,790.64

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Solution

The fourth proportional to 31,510.56, 47,274.04 and 11,790.64 is: 17,689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510.56 : 47,274.04 = 11,790.64 : x
  2. Step 2: Convert to fraction form
    31,510.56/47,274.04 = 11,790.64/x
  3. Step 3: Cross multiply
    31,510.56x = 47,274.04 × 11,790.64
  4. Step 4: Simplify right side
    31,510.56x = 557,391,186.99
  5. Step 5: Solve for x
    x = 557,391,186.99/31,510.56
  6. Step 6: Final answer
    x = 17,689.03

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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.