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Finding the Fourth Proportional to 103,062.63, 154,616.04 and 31,983.76

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Solution

The fourth proportional to 103,062.63, 154,616.04 and 31,983.76 is: 47,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,062.63 : 154,616.04 = 31,983.76 : x
  2. Step 2: Convert to fraction form
    103,062.63/154,616.04 = 31,983.76/x
  3. Step 3: Cross multiply
    103,062.63x = 154,616.04 × 31,983.76
  4. Step 4: Simplify right side
    103,062.63x = 4,945,202,508.78
  5. Step 5: Solve for x
    x = 4,945,202,508.78/103,062.63
  6. Step 6: Final answer
    x = 47,982.50

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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.