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Finding the Fourth Proportional to 46,636.38, 64,357.92 and 25,415.64

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Solution

The fourth proportional to 46,636.38, 64,357.92 and 25,415.64 is: 35,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,636.38 : 64,357.92 = 25,415.64 : x
  2. Step 2: Convert to fraction form
    46,636.38/64,357.92 = 25,415.64/x
  3. Step 3: Cross multiply
    46,636.38x = 64,357.92 × 25,415.64
  4. Step 4: Simplify right side
    46,636.38x = 1,635,697,725.87
  5. Step 5: Solve for x
    x = 1,635,697,725.87/46,636.38
  6. Step 6: Final answer
    x = 35,073.43

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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.