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Finding the Fourth Proportional to 57,468.30, 86,198.95 and 27,503.84

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Solution

The fourth proportional to 57,468.30, 86,198.95 and 27,503.84 is: 41,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,468.30 : 86,198.95 = 27,503.84 : x
  2. Step 2: Convert to fraction form
    57,468.30/86,198.95 = 27,503.84/x
  3. Step 3: Cross multiply
    57,468.30x = 86,198.95 × 27,503.84
  4. Step 4: Simplify right side
    57,468.30x = 2,370,802,128.97
  5. Step 5: Solve for x
    x = 2,370,802,128.97/57,468.30
  6. Step 6: Final answer
    x = 41,254.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.