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Finding the Fourth Proportional to 60,242.70, 83,134.25 and 33,019

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Solution

The fourth proportional to 60,242.70, 83,134.25 and 33,019 is: 45,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,242.70 : 83,134.25 = 33,019 : x
  2. Step 2: Convert to fraction form
    60,242.70/83,134.25 = 33,019/x
  3. Step 3: Cross multiply
    60,242.70x = 83,134.25 × 33,019
  4. Step 4: Simplify right side
    60,242.70x = 2,745,009,800.75
  5. Step 5: Solve for x
    x = 2,745,009,800.75/60,242.70
  6. Step 6: Final answer
    x = 45,565.85

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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.