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Finding the Fourth Proportional to 54,667.50, 82,001.26 and 17,731.50

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Solution

The fourth proportional to 54,667.50, 82,001.26 and 17,731.50 is: 26,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,667.50 : 82,001.26 = 17,731.50 : x
  2. Step 2: Convert to fraction form
    54,667.50/82,001.26 = 17,731.50/x
  3. Step 3: Cross multiply
    54,667.50x = 82,001.26 × 17,731.50
  4. Step 4: Simplify right side
    54,667.50x = 1,454,005,341.69
  5. Step 5: Solve for x
    x = 1,454,005,341.69/54,667.50
  6. Step 6: Final answer
    x = 26,597.25

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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.