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Finding the Fourth Proportional to 51,072.30, 76,435.65 and 51,072.30

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Solution

The fourth proportional to 51,072.30, 76,435.65 and 51,072.30 is: 76,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,072.30 : 76,435.65 = 51,072.30 : x
  2. Step 2: Convert to fraction form
    51,072.30/76,435.65 = 51,072.30/x
  3. Step 3: Cross multiply
    51,072.30x = 76,435.65 × 51,072.30
  4. Step 4: Simplify right side
    51,072.30x = 3,903,744,447.50
  5. Step 5: Solve for x
    x = 3,903,744,447.50/51,072.30
  6. Step 6: Final answer
    x = 76,435.65

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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.