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Finding the Fourth Proportional to 46,690.64, 64,433 and 25,469.91

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Solution

The fourth proportional to 46,690.64, 64,433 and 25,469.91 is: 35,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,690.64 : 64,433 = 25,469.91 : x
  2. Step 2: Convert to fraction form
    46,690.64/64,433 = 25,469.91/x
  3. Step 3: Cross multiply
    46,690.64x = 64,433 × 25,469.91
  4. Step 4: Simplify right side
    46,690.64x = 1,641,102,388.87
  5. Step 5: Solve for x
    x = 1,641,102,388.87/46,690.64
  6. Step 6: Final answer
    x = 35,148.43

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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.