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Finding the Fourth Proportional to 46,625.44, 64,311.12 and 27,748

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Solution

The fourth proportional to 46,625.44, 64,311.12 and 27,748 is: 38,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,625.44 : 64,311.12 = 27,748 : x
  2. Step 2: Convert to fraction form
    46,625.44/64,311.12 = 27,748/x
  3. Step 3: Cross multiply
    46,625.44x = 64,311.12 × 27,748
  4. Step 4: Simplify right side
    46,625.44x = 1,784,504,957.76
  5. Step 5: Solve for x
    x = 1,784,504,957.76/46,625.44
  6. Step 6: Final answer
    x = 38,273.20

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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.