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Finding the Fourth Proportional to 46,675.96, 64,414.38 and 25,456.42

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Solution

The fourth proportional to 46,675.96, 64,414.38 and 25,456.42 is: 35,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,675.96 : 64,414.38 = 25,456.42 : x
  2. Step 2: Convert to fraction form
    46,675.96/64,414.38 = 25,456.42/x
  3. Step 3: Cross multiply
    46,675.96x = 64,414.38 × 25,456.42
  4. Step 4: Simplify right side
    46,675.96x = 1,639,759,511.32
  5. Step 5: Solve for x
    x = 1,639,759,511.32/46,675.96
  6. Step 6: Final answer
    x = 35,130.71

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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.