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Finding the Fourth Proportional to 31,387.53, 47,087.78 and 9,201.63

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Solution

The fourth proportional to 31,387.53, 47,087.78 and 9,201.63 is: 13,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,387.53 : 47,087.78 = 9,201.63 : x
  2. Step 2: Convert to fraction form
    31,387.53/47,087.78 = 9,201.63/x
  3. Step 3: Cross multiply
    31,387.53x = 47,087.78 × 9,201.63
  4. Step 4: Simplify right side
    31,387.53x = 433,284,283.07
  5. Step 5: Solve for x
    x = 433,284,283.07/31,387.53
  6. Step 6: Final answer
    x = 13,804.34

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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.