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Finding the Fourth Proportional to 50,987.84, 76,417.02 and 28,813.64

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Solution

The fourth proportional to 50,987.84, 76,417.02 and 28,813.64 is: 43,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,987.84 : 76,417.02 = 28,813.64 : x
  2. Step 2: Convert to fraction form
    50,987.84/76,417.02 = 28,813.64/x
  3. Step 3: Cross multiply
    50,987.84x = 76,417.02 × 28,813.64
  4. Step 4: Simplify right side
    50,987.84x = 2,201,852,122.07
  5. Step 5: Solve for x
    x = 2,201,852,122.07/50,987.84
  6. Step 6: Final answer
    x = 43,183.87

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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.