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Finding the Fourth Proportional to 31,389.67, 47,084.89 and 9,203.48

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Solution

The fourth proportional to 31,389.67, 47,084.89 and 9,203.48 is: 13,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,389.67 : 47,084.89 = 9,203.48 : x
  2. Step 2: Convert to fraction form
    31,389.67/47,084.89 = 9,203.48/x
  3. Step 3: Cross multiply
    31,389.67x = 47,084.89 × 9,203.48
  4. Step 4: Simplify right side
    31,389.67x = 433,344,938.12
  5. Step 5: Solve for x
    x = 433,344,938.12/31,389.67
  6. Step 6: Final answer
    x = 13,805.34

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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.