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Finding the Fourth Proportional to 46,694.38, 64,438.16 and 25,473.65

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Solution

The fourth proportional to 46,694.38, 64,438.16 and 25,473.65 is: 35,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,694.38 : 64,438.16 = 25,473.65 : x
  2. Step 2: Convert to fraction form
    46,694.38/64,438.16 = 25,473.65/x
  3. Step 3: Cross multiply
    46,694.38x = 64,438.16 × 25,473.65
  4. Step 4: Simplify right side
    46,694.38x = 1,641,474,812.29
  5. Step 5: Solve for x
    x = 1,641,474,812.29/46,694.38
  6. Step 6: Final answer
    x = 35,153.58

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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.