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Finding the Fourth Proportional to 46,756, 64,524.80 and 26,884

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Solution

The fourth proportional to 46,756, 64,524.80 and 26,884 is: 37,100.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,756 : 64,524.80 = 26,884 : x
  2. Step 2: Convert to fraction form
    46,756/64,524.80 = 26,884/x
  3. Step 3: Cross multiply
    46,756x = 64,524.80 × 26,884
  4. Step 4: Simplify right side
    46,756x = 1,734,684,723.20
  5. Step 5: Solve for x
    x = 1,734,684,723.20/46,756
  6. Step 6: Final answer
    x = 37,100.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.