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Finding the Fourth Proportional to 46,665.66, 64,375.32 and 30,744.30

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Solution

The fourth proportional to 46,665.66, 64,375.32 and 30,744.30 is: 42,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,665.66 : 64,375.32 = 30,744.30 : x
  2. Step 2: Convert to fraction form
    46,665.66/64,375.32 = 30,744.30/x
  3. Step 3: Cross multiply
    46,665.66x = 64,375.32 × 30,744.30
  4. Step 4: Simplify right side
    46,665.66x = 1,979,174,150.68
  5. Step 5: Solve for x
    x = 1,979,174,150.68/46,665.66
  6. Step 6: Final answer
    x = 42,411.79

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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.