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Finding the Fourth Proportional to 30,431.79, 42,179.93 and 28,679.78

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Solution

The fourth proportional to 30,431.79, 42,179.93 and 28,679.78 is: 39,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.79 : 42,179.93 = 28,679.78 : x
  2. Step 2: Convert to fraction form
    30,431.79/42,179.93 = 28,679.78/x
  3. Step 3: Cross multiply
    30,431.79x = 42,179.93 × 28,679.78
  4. Step 4: Simplify right side
    30,431.79x = 1,209,711,289.96
  5. Step 5: Solve for x
    x = 1,209,711,289.96/30,431.79
  6. Step 6: Final answer
    x = 39,751.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.