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Finding the Fourth Proportional to 31,336.63, 47,004.29 and 7,644.25

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Solution

The fourth proportional to 31,336.63, 47,004.29 and 7,644.25 is: 11,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,336.63 : 47,004.29 = 7,644.25 : x
  2. Step 2: Convert to fraction form
    31,336.63/47,004.29 = 7,644.25/x
  3. Step 3: Cross multiply
    31,336.63x = 47,004.29 × 7,644.25
  4. Step 4: Simplify right side
    31,336.63x = 359,312,505.61
  5. Step 5: Solve for x
    x = 359,312,505.61/31,336.63
  6. Step 6: Final answer
    x = 11,466.21

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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.