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Finding the Fourth Proportional to 46,634.32, 64,354.08 and 25,414

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Solution

The fourth proportional to 46,634.32, 64,354.08 and 25,414 is: 35,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,634.32 : 64,354.08 = 25,414 : x
  2. Step 2: Convert to fraction form
    46,634.32/64,354.08 = 25,414/x
  3. Step 3: Cross multiply
    46,634.32x = 64,354.08 × 25,414
  4. Step 4: Simplify right side
    46,634.32x = 1,635,494,589.12
  5. Step 5: Solve for x
    x = 1,635,494,589.12/46,634.32
  6. Step 6: Final answer
    x = 35,070.62

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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.