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Finding the Fourth Proportional to 51,017.01, 76,447.64 and 21,418.80

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Solution

The fourth proportional to 51,017.01, 76,447.64 and 21,418.80 is: 32,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,017.01 : 76,447.64 = 21,418.80 : x
  2. Step 2: Convert to fraction form
    51,017.01/76,447.64 = 21,418.80/x
  3. Step 3: Cross multiply
    51,017.01x = 76,447.64 × 21,418.80
  4. Step 4: Simplify right side
    51,017.01x = 1,637,416,604.54
  5. Step 5: Solve for x
    x = 1,637,416,604.54/51,017.01
  6. Step 6: Final answer
    x = 32,095.50

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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.