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Finding the Fourth Proportional to 34,262.40, 51,338.40 and 19,427.20

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Solution

The fourth proportional to 34,262.40, 51,338.40 and 19,427.20 is: 29,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,262.40 : 51,338.40 = 19,427.20 : x
  2. Step 2: Convert to fraction form
    34,262.40/51,338.40 = 19,427.20/x
  3. Step 3: Cross multiply
    34,262.40x = 51,338.40 × 19,427.20
  4. Step 4: Simplify right side
    34,262.40x = 997,361,364.48
  5. Step 5: Solve for x
    x = 997,361,364.48/34,262.40
  6. Step 6: Final answer
    x = 29,109.50

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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.