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Finding the Fourth Proportional to 82,744.34, 114,152.90 and 54,054.14

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Solution

The fourth proportional to 82,744.34, 114,152.90 and 54,054.14 is: 74,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,744.34 : 114,152.90 = 54,054.14 : x
  2. Step 2: Convert to fraction form
    82,744.34/114,152.90 = 54,054.14/x
  3. Step 3: Cross multiply
    82,744.34x = 114,152.90 × 54,054.14
  4. Step 4: Simplify right side
    82,744.34x = 6,170,435,996.97
  5. Step 5: Solve for x
    x = 6,170,435,996.97/82,744.34
  6. Step 6: Final answer
    x = 74,572.31

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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.