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Finding the Fourth Proportional to 31,546.50, 47,313.06 and 11,826.51

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Solution

The fourth proportional to 31,546.50, 47,313.06 and 11,826.51 is: 17,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,546.50 : 47,313.06 = 11,826.51 : x
  2. Step 2: Convert to fraction form
    31,546.50/47,313.06 = 11,826.51/x
  3. Step 3: Cross multiply
    31,546.50x = 47,313.06 × 11,826.51
  4. Step 4: Simplify right side
    31,546.50x = 559,548,155.45
  5. Step 5: Solve for x
    x = 559,548,155.45/31,546.50
  6. Step 6: Final answer
    x = 17,737.25

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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.