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Finding the Fourth Proportional to 34,427.70, 51,653.70 and 12,241.80

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Solution

The fourth proportional to 34,427.70, 51,653.70 and 12,241.80 is: 18,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,427.70 : 51,653.70 = 12,241.80 : x
  2. Step 2: Convert to fraction form
    34,427.70/51,653.70 = 12,241.80/x
  3. Step 3: Cross multiply
    34,427.70x = 51,653.70 × 12,241.80
  4. Step 4: Simplify right side
    34,427.70x = 632,334,264.66
  5. Step 5: Solve for x
    x = 632,334,264.66/34,427.70
  6. Step 6: Final answer
    x = 18,367.02

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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.