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Finding the Fourth Proportional to 82,744, 114,187.62 and 45,019.06

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Solution

The fourth proportional to 82,744, 114,187.62 and 45,019.06 is: 62,126.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,744 : 114,187.62 = 45,019.06 : x
  2. Step 2: Convert to fraction form
    82,744/114,187.62 = 45,019.06/x
  3. Step 3: Cross multiply
    82,744x = 114,187.62 × 45,019.06
  4. Step 4: Simplify right side
    82,744x = 5,140,619,316.04
  5. Step 5: Solve for x
    x = 5,140,619,316.04/82,744
  6. Step 6: Final answer
    x = 62,126.79

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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.