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Finding the Fourth Proportional to 34,227.40, 51,302.70 and 19,443.40

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Solution

The fourth proportional to 34,227.40, 51,302.70 and 19,443.40 is: 29,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,227.40 : 51,302.70 = 19,443.40 : x
  2. Step 2: Convert to fraction form
    34,227.40/51,302.70 = 19,443.40/x
  3. Step 3: Cross multiply
    34,227.40x = 51,302.70 × 19,443.40
  4. Step 4: Simplify right side
    34,227.40x = 997,498,917.18
  5. Step 5: Solve for x
    x = 997,498,917.18/34,227.40
  6. Step 6: Final answer
    x = 29,143.29

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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.