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Finding the Fourth Proportional to 31,389.77, 47,084.74 and 7,697.43

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Solution

The fourth proportional to 31,389.77, 47,084.74 and 7,697.43 is: 11,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,389.77 : 47,084.74 = 7,697.43 : x
  2. Step 2: Convert to fraction form
    31,389.77/47,084.74 = 7,697.43/x
  3. Step 3: Cross multiply
    31,389.77x = 47,084.74 × 7,697.43
  4. Step 4: Simplify right side
    31,389.77x = 362,431,490.22
  5. Step 5: Solve for x
    x = 362,431,490.22/31,389.77
  6. Step 6: Final answer
    x = 11,546.17

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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.