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Finding the Fourth Proportional to 31,801.74, 47,611.89 and 25,237.50

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Solution

The fourth proportional to 31,801.74, 47,611.89 and 25,237.50 is: 37,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,801.74 : 47,611.89 = 25,237.50 : x
  2. Step 2: Convert to fraction form
    31,801.74/47,611.89 = 25,237.50/x
  3. Step 3: Cross multiply
    31,801.74x = 47,611.89 × 25,237.50
  4. Step 4: Simplify right side
    31,801.74x = 1,201,605,073.88
  5. Step 5: Solve for x
    x = 1,201,605,073.88/31,801.74
  6. Step 6: Final answer
    x = 37,784.26

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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.