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Finding the Fourth Proportional to 46,453.87, 64,116.55 and 30,539.80

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Solution

The fourth proportional to 46,453.87, 64,116.55 and 30,539.80 is: 42,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,453.87 : 64,116.55 = 30,539.80 : x
  2. Step 2: Convert to fraction form
    46,453.87/64,116.55 = 30,539.80/x
  3. Step 3: Cross multiply
    46,453.87x = 64,116.55 × 30,539.80
  4. Step 4: Simplify right side
    46,453.87x = 1,958,106,377.05
  5. Step 5: Solve for x
    x = 1,958,106,377.05/46,453.87
  6. Step 6: Final answer
    x = 42,151.63

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