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Finding the Fourth Proportional to 34,542.49, 51,798.25 and 15,828.66

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Solution

The fourth proportional to 34,542.49, 51,798.25 and 15,828.66 is: 23,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542.49 : 51,798.25 = 15,828.66 : x
  2. Step 2: Convert to fraction form
    34,542.49/51,798.25 = 15,828.66/x
  3. Step 3: Cross multiply
    34,542.49x = 51,798.25 × 15,828.66
  4. Step 4: Simplify right side
    34,542.49x = 819,896,887.85
  5. Step 5: Solve for x
    x = 819,896,887.85/34,542.49
  6. Step 6: Final answer
    x = 23,735.89

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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.