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Finding the Fourth Proportional to 46,753.36, 64,512 and 27,630.48

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Solution

The fourth proportional to 46,753.36, 64,512 and 27,630.48 is: 38,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,753.36 : 64,512 = 27,630.48 : x
  2. Step 2: Convert to fraction form
    46,753.36/64,512 = 27,630.48/x
  3. Step 3: Cross multiply
    46,753.36x = 64,512 × 27,630.48
  4. Step 4: Simplify right side
    46,753.36x = 1,782,497,525.76
  5. Step 5: Solve for x
    x = 1,782,497,525.76/46,753.36
  6. Step 6: Final answer
    x = 38,125.55

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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.