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Finding the Fourth Proportional to 46,665.32, 69,958.32 and 21,719.84

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Solution

The fourth proportional to 46,665.32, 69,958.32 and 21,719.84 is: 32,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,665.32 : 69,958.32 = 21,719.84 : x
  2. Step 2: Convert to fraction form
    46,665.32/69,958.32 = 21,719.84/x
  3. Step 3: Cross multiply
    46,665.32x = 69,958.32 × 21,719.84
  4. Step 4: Simplify right side
    46,665.32x = 1,519,483,517.07
  5. Step 5: Solve for x
    x = 1,519,483,517.07/46,665.32
  6. Step 6: Final answer
    x = 32,561.30

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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.