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Finding the Fourth Proportional to 51,559.12, 71,151.72 and 29,203.12

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Solution

The fourth proportional to 51,559.12, 71,151.72 and 29,203.12 is: 40,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,559.12 : 71,151.72 = 29,203.12 : x
  2. Step 2: Convert to fraction form
    51,559.12/71,151.72 = 29,203.12/x
  3. Step 3: Cross multiply
    51,559.12x = 71,151.72 × 29,203.12
  4. Step 4: Simplify right side
    51,559.12x = 2,077,852,217.37
  5. Step 5: Solve for x
    x = 2,077,852,217.37/51,559.12
  6. Step 6: Final answer
    x = 40,300.38

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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.