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Finding the Fourth Proportional to 41,796, 62,697.65 and 10,631.25

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Solution

The fourth proportional to 41,796, 62,697.65 and 10,631.25 is: 15,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,796 : 62,697.65 = 10,631.25 : x
  2. Step 2: Convert to fraction form
    41,796/62,697.65 = 10,631.25/x
  3. Step 3: Cross multiply
    41,796x = 62,697.65 × 10,631.25
  4. Step 4: Simplify right side
    41,796x = 666,554,338.41
  5. Step 5: Solve for x
    x = 666,554,338.41/41,796
  6. Step 6: Final answer
    x = 15,947.80

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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.