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Finding the Fourth Proportional to 34,032.50, 51,048.75 and 13,270.58

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Solution

The fourth proportional to 34,032.50, 51,048.75 and 13,270.58 is: 19,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,032.50 : 51,048.75 = 13,270.58 : x
  2. Step 2: Convert to fraction form
    34,032.50/51,048.75 = 13,270.58/x
  3. Step 3: Cross multiply
    34,032.50x = 51,048.75 × 13,270.58
  4. Step 4: Simplify right side
    34,032.50x = 677,446,520.78
  5. Step 5: Solve for x
    x = 677,446,520.78/34,032.50
  6. Step 6: Final answer
    x = 19,905.87

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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.