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Finding the Fourth Proportional to 75,527.83, 104,233.50 and 49,990.20

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Solution

The fourth proportional to 75,527.83, 104,233.50 and 49,990.20 is: 68,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,527.83 : 104,233.50 = 49,990.20 : x
  2. Step 2: Convert to fraction form
    75,527.83/104,233.50 = 49,990.20/x
  3. Step 3: Cross multiply
    75,527.83x = 104,233.50 × 49,990.20
  4. Step 4: Simplify right side
    75,527.83x = 5,210,653,772.28
  5. Step 5: Solve for x
    x = 5,210,653,772.28/75,527.83
  6. Step 6: Final answer
    x = 68,989.85

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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.