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Finding the Fourth Proportional to 52,132.28, 78,323.04 and 33,449

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Solution

The fourth proportional to 52,132.28, 78,323.04 and 33,449 is: 50,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,132.28 : 78,323.04 = 33,449 : x
  2. Step 2: Convert to fraction form
    52,132.28/78,323.04 = 33,449/x
  3. Step 3: Cross multiply
    52,132.28x = 78,323.04 × 33,449
  4. Step 4: Simplify right side
    52,132.28x = 2,619,827,364.96
  5. Step 5: Solve for x
    x = 2,619,827,364.96/52,132.28
  6. Step 6: Final answer
    x = 50,253.46

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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.