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Finding the Fourth Proportional to 31,700.57, 47,510.15 and 11,955.60

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Solution

The fourth proportional to 31,700.57, 47,510.15 and 11,955.60 is: 17,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,700.57 : 47,510.15 = 11,955.60 : x
  2. Step 2: Convert to fraction form
    31,700.57/47,510.15 = 11,955.60/x
  3. Step 3: Cross multiply
    31,700.57x = 47,510.15 × 11,955.60
  4. Step 4: Simplify right side
    31,700.57x = 568,012,289.56
  5. Step 5: Solve for x
    x = 568,012,289.56/31,700.57
  6. Step 6: Final answer
    x = 17,918.05

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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.