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Finding the Fourth Proportional to 34,051.88, 51,077.82 and 9,427.88

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Solution

The fourth proportional to 34,051.88, 51,077.82 and 9,427.88 is: 14,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,051.88 : 51,077.82 = 9,427.88 : x
  2. Step 2: Convert to fraction form
    34,051.88/51,077.82 = 9,427.88/x
  3. Step 3: Cross multiply
    34,051.88x = 51,077.82 × 9,427.88
  4. Step 4: Simplify right side
    34,051.88x = 481,555,302.23
  5. Step 5: Solve for x
    x = 481,555,302.23/34,051.88
  6. Step 6: Final answer
    x = 14,141.81

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1.5x scale

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.