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Finding the Fourth Proportional to 55,867.50, 83,784.85 and 16,415.24

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Solution

The fourth proportional to 55,867.50, 83,784.85 and 16,415.24 is: 24,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,867.50 : 83,784.85 = 16,415.24 : x
  2. Step 2: Convert to fraction form
    55,867.50/83,784.85 = 16,415.24/x
  3. Step 3: Cross multiply
    55,867.50x = 83,784.85 × 16,415.24
  4. Step 4: Simplify right side
    55,867.50x = 1,375,347,961.15
  5. Step 5: Solve for x
    x = 1,375,347,961.15/55,867.50
  6. Step 6: Final answer
    x = 24,618.03

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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.