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Finding the Fourth Proportional to 34,164.88, 51,254.24 and 14,443.40

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Solution

The fourth proportional to 34,164.88, 51,254.24 and 14,443.40 is: 21,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,164.88 : 51,254.24 = 14,443.40 : x
  2. Step 2: Convert to fraction form
    34,164.88/51,254.24 = 14,443.40/x
  3. Step 3: Cross multiply
    34,164.88x = 51,254.24 × 14,443.40
  4. Step 4: Simplify right side
    34,164.88x = 740,285,545.93
  5. Step 5: Solve for x
    x = 740,285,545.93/34,164.88
  6. Step 6: Final answer
    x = 21,668.03

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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.