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Finding the Fourth Proportional to 54,048.96, 81,072.48 and 17,112

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Solution

The fourth proportional to 54,048.96, 81,072.48 and 17,112 is: 25,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,048.96 : 81,072.48 = 17,112 : x
  2. Step 2: Convert to fraction form
    54,048.96/81,072.48 = 17,112/x
  3. Step 3: Cross multiply
    54,048.96x = 81,072.48 × 17,112
  4. Step 4: Simplify right side
    54,048.96x = 1,387,312,277.76
  5. Step 5: Solve for x
    x = 1,387,312,277.76/54,048.96
  6. Step 6: Final answer
    x = 25,667.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.