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Finding the Fourth Proportional to 75,214.63, 112,703.28 and 27,764.43

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Solution

The fourth proportional to 75,214.63, 112,703.28 and 27,764.43 is: 41,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,214.63 : 112,703.28 = 27,764.43 : x
  2. Step 2: Convert to fraction form
    75,214.63/112,703.28 = 27,764.43/x
  3. Step 3: Cross multiply
    75,214.63x = 112,703.28 × 27,764.43
  4. Step 4: Simplify right side
    75,214.63x = 3,129,142,328.33
  5. Step 5: Solve for x
    x = 3,129,142,328.33/75,214.63
  6. Step 6: Final answer
    x = 41,602.84

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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.