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Finding the Fourth Proportional to 31,685.14, 47,485.72 and 16,862.14

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Solution

The fourth proportional to 31,685.14, 47,485.72 and 16,862.14 is: 25,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,685.14 : 47,485.72 = 16,862.14 : x
  2. Step 2: Convert to fraction form
    31,685.14/47,485.72 = 16,862.14/x
  3. Step 3: Cross multiply
    31,685.14x = 47,485.72 × 16,862.14
  4. Step 4: Simplify right side
    31,685.14x = 800,710,858.64
  5. Step 5: Solve for x
    x = 800,710,858.64/31,685.14
  6. Step 6: Final answer
    x = 25,270.86

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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.