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Finding the Fourth Proportional to 51,773.75, 77,660.64 and 16,718.57

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Solution

The fourth proportional to 51,773.75, 77,660.64 and 16,718.57 is: 25,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,773.75 : 77,660.64 = 16,718.57 : x
  2. Step 2: Convert to fraction form
    51,773.75/77,660.64 = 16,718.57/x
  3. Step 3: Cross multiply
    51,773.75x = 77,660.64 × 16,718.57
  4. Step 4: Simplify right side
    51,773.75x = 1,298,374,846.08
  5. Step 5: Solve for x
    x = 1,298,374,846.08/51,773.75
  6. Step 6: Final answer
    x = 25,077.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.