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Finding the Fourth Proportional to 34,177, 51,273.06 and 14,472.40

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Solution

The fourth proportional to 34,177, 51,273.06 and 14,472.40 is: 21,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,177 : 51,273.06 = 14,472.40 : x
  2. Step 2: Convert to fraction form
    34,177/51,273.06 = 14,472.40/x
  3. Step 3: Cross multiply
    34,177x = 51,273.06 × 14,472.40
  4. Step 4: Simplify right side
    34,177x = 742,044,233.54
  5. Step 5: Solve for x
    x = 742,044,233.54/34,177
  6. Step 6: Final answer
    x = 21,711.80

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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.