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Finding the Fourth Proportional to 52,134.28, 78,326.04 and 33,451

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Solution

The fourth proportional to 52,134.28, 78,326.04 and 33,451 is: 50,256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,134.28 : 78,326.04 = 33,451 : x
  2. Step 2: Convert to fraction form
    52,134.28/78,326.04 = 33,451/x
  3. Step 3: Cross multiply
    52,134.28x = 78,326.04 × 33,451
  4. Step 4: Simplify right side
    52,134.28x = 2,620,084,364.04
  5. Step 5: Solve for x
    x = 2,620,084,364.04/52,134.28
  6. Step 6: Final answer
    x = 50,256.46

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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.