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Finding the Fourth Proportional to 75,276.16, 112,957.98 and 33,723.16

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Solution

The fourth proportional to 75,276.16, 112,957.98 and 33,723.16 is: 50,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,276.16 : 112,957.98 = 33,723.16 : x
  2. Step 2: Convert to fraction form
    75,276.16/112,957.98 = 33,723.16/x
  3. Step 3: Cross multiply
    75,276.16x = 112,957.98 × 33,723.16
  4. Step 4: Simplify right side
    75,276.16x = 3,809,300,032.82
  5. Step 5: Solve for x
    x = 3,809,300,032.82/75,276.16
  6. Step 6: Final answer
    x = 50,604.34

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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.