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Finding the Fourth Proportional to 55,367.20, 76,506.84 and 39,424

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Solution

The fourth proportional to 55,367.20, 76,506.84 and 39,424 is: 54,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,367.20 : 76,506.84 = 39,424 : x
  2. Step 2: Convert to fraction form
    55,367.20/76,506.84 = 39,424/x
  3. Step 3: Cross multiply
    55,367.20x = 76,506.84 × 39,424
  4. Step 4: Simplify right side
    55,367.20x = 3,016,205,660.16
  5. Step 5: Solve for x
    x = 3,016,205,660.16/55,367.20
  6. Step 6: Final answer
    x = 54,476.40

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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.