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Finding the Fourth Proportional to 75,212.63, 112,700.28 and 27,762.43

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Solution

The fourth proportional to 75,212.63, 112,700.28 and 27,762.43 is: 41,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,212.63 : 112,700.28 = 27,762.43 : x
  2. Step 2: Convert to fraction form
    75,212.63/112,700.28 = 27,762.43/x
  3. Step 3: Cross multiply
    75,212.63x = 112,700.28 × 27,762.43
  4. Step 4: Simplify right side
    75,212.63x = 3,128,833,352.73
  5. Step 5: Solve for x
    x = 3,128,833,352.73/75,212.63
  6. Step 6: Final answer
    x = 41,599.84

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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.