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Finding the Fourth Proportional to 34,221.40, 51,293.70 and 19,437.40

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Solution

The fourth proportional to 34,221.40, 51,293.70 and 19,437.40 is: 29,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,221.40 : 51,293.70 = 19,437.40 : x
  2. Step 2: Convert to fraction form
    34,221.40/51,293.70 = 19,437.40/x
  3. Step 3: Cross multiply
    34,221.40x = 51,293.70 × 19,437.40
  4. Step 4: Simplify right side
    34,221.40x = 997,016,164.38
  5. Step 5: Solve for x
    x = 997,016,164.38/34,221.40
  6. Step 6: Final answer
    x = 29,134.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.