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Finding the Fourth Proportional to 46,493.92, 64,160.22 and 25,272.64

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Solution

The fourth proportional to 46,493.92, 64,160.22 and 25,272.64 is: 34,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,493.92 : 64,160.22 = 25,272.64 : x
  2. Step 2: Convert to fraction form
    46,493.92/64,160.22 = 25,272.64/x
  3. Step 3: Cross multiply
    46,493.92x = 64,160.22 × 25,272.64
  4. Step 4: Simplify right side
    46,493.92x = 1,621,498,142.38
  5. Step 5: Solve for x
    x = 1,621,498,142.38/46,493.92
  6. Step 6: Final answer
    x = 34,875.49

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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.