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Finding the Fourth Proportional to 99,947.29, 137,930.44 and 54,624.28

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Solution

The fourth proportional to 99,947.29, 137,930.44 and 54,624.28 is: 75,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,947.29 : 137,930.44 = 54,624.28 : x
  2. Step 2: Convert to fraction form
    99,947.29/137,930.44 = 54,624.28/x
  3. Step 3: Cross multiply
    99,947.29x = 137,930.44 × 54,624.28
  4. Step 4: Simplify right side
    99,947.29x = 7,534,350,975.08
  5. Step 5: Solve for x
    x = 7,534,350,975.08/99,947.29
  6. Step 6: Final answer
    x = 75,383.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.